Answer :

To solve the problem [tex]\(\frac{f}{50} = \frac{27}{30}\)[/tex] for [tex]\(f\)[/tex], we can use cross-multiplication. Here's how you can do it step by step:

1. Start with the given proportion:
[tex]\(\frac{f}{50} = \frac{27}{30}\)[/tex].

2. Cross-multiply the terms. This means you multiply the numerator of one fraction by the denominator of the other fraction, and do the same for the other side:
[tex]\[
f \times 30 = 27 \times 50
\][/tex]

3. Now, perform the multiplication on each side:
[tex]\[
f \times 30 = 1350
\][/tex]

4. To solve for [tex]\(f\)[/tex], divide both sides of the equation by 30:
[tex]\[
f = \frac{1350}{30}
\][/tex]

5. Calculate the division:
[tex]\[
f = 45
\][/tex]

The solution for [tex]\(f\)[/tex] is 45.

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