Type the correct answer in the box. Use numerals instead of words. If necessary, use [tex]$/$[/tex] for the fraction bar(s).

[tex]
\[
\begin{array}{|l|r|r|r|r|r|}
\hline
\text{Viewer's Age Group} & \text{Excellent} & \text{Good} & \text{Average} & \text{Poor} & \text{Marginal Total} \\
\hline
16-25 & 52 & 42 & 12 & 7 & 113 \\
\hline
26-35 & 33 & 50 & 5 & 9 & 97 \\
\hline
36-45 & 58 & 12 & 28 & 34 & 132 \\
\hline
46-55 & 25 & 17 & 22 & 12 & 76 \\
\hline
56+ & 12 & 5 & 3 & 8 & 28 \\
\hline
\text{Marginal Total} & 180 & 126 & 70 & 70 & 446 \\
\hline
\end{array}
\]
[/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 [tex]$46-55$[/tex] 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 can follow these steps:

1. Identify the number of respondents in the 46-55 age group who rated the film as excellent. According to the table, there are 25 respondents.

2. Determine the total number of respondents from the 46-55 age group. The table shows that this total is 76.

3. Calculate the percentage by dividing the number of respondents who rated the film as excellent by the total number of respondents in the age group, and then multiplying by 100 to convert it to a percentage.

[tex]\[
\text{Percentage} = \left( \frac{25}{76} \right) \times 100
\][/tex]

4. Perform the division: [tex]$ \frac{25}{76} \approx 0.3289473684210527 $[/tex].

5. Multiply by 100 to convert the proportion to a percentage:

[tex]\[
0.3289473684210527 \times 100 = 32.89
\][/tex]

Therefore, the percentage of respondents from the 46-55 age group who rated the film excellent is approximately 32.89%.