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[tex]
\[
\begin{array}{|c|c|c|c|c|c|}
\hline
\text{Viewer's Age Group} & \text{Excellent} & \text{Good} & \text{Average} & \text{Poor} & \text{Marginal Total} \\
\hline
16-25 & 52 & 42 & 5 & 9 & 97 \\
\hline
26-35 & 33 & 50 & 8 & 34 & 132 \\
\hline
36-45 & 58 & 12 & 22 & 12 & 104 \\
\hline
46-55 & 25 & 17 & 22 & 8 & 72 \\
\hline
56+ & 12 & 5 & 3 & 50 & 70 \\
\hline
\text{Marginal Total} & 180 & 126 & 60 & 113 & 479 \\
\hline
\end{array}
\]
[/tex]

Note: A rating of good or excellent means the audience liked the movie, while a rating of poor means the audience disliked the movie.

A movie producer conducted a survey after a preview screening of her new movie to find out how the film would be received by viewers from different age groups. The table shows the numbers of viewers in different age groups who rated the film excellent, good, average, and poor.

Out of the total respondents, the percentage of respondents from the 46-55 age group who rated the film excellent is [tex]$\square$[/tex]%. Write your answer up to two decimal places.

To find the percentage of respondents from the 46-55 age group who rated the film as excellent, we should follow these steps:

1. Determine the Total Number of Respondents in the 46-55 Age Group:
Add up the numbers provided for this age group across all rating categories. We can see the ratings in the table:
- Excellent: 25
- Good: 17
- Average: 22
- Poor: 8

Therefore, the total number of respondents in this age group is:
[tex]\[
25 + 17 + 22 + 8 = 72
\][/tex]

2. Identify the Number of Respondents Who Rated the Film as Excellent:
From the table, we see that in the 46-55 age group, 25 people rated the film as excellent.

3. Calculate the Percentage:
To find the percentage of respondents who rated the film as excellent, use the formula:
[tex]\[
\text{Percentage} = \left(\frac{\text{Number of Excellent Ratings}}{\text{Total in Age Group}}\right) \times 100
\][/tex]
Substituting the known values:
[tex]\[
\text{Percentage} = \left(\frac{25}{72}\right) \times 100 \approx 34.72\%
\][/tex]

Thus, the percentage of respondents from the 46-55 age group who rated the film as excellent is approximately 34.72%.