Chapter 2 - Equations, Inequalities, and Problem Solving - 2.1 Solving Equations - 2.1 Exercise Set - Page 87: 58

$x=36$

Multiplying both sides by $ \dfrac{4}{3} $, then the solution to the given equation, $ \dfrac{3}{4}x=27 $, is \begin{array}{l}\require{cancel} \dfrac{4}{3}\cdot\dfrac{3}{4}x=27\cdot\dfrac{4}{3} \\\\ \dfrac{\cancel{4}}{\cancel{3}}\cdot\dfrac{\cancel{3}}{\cancel{4}}x=\cancel{3}\cdot9\cdot\dfrac{4}{\cancel{3}} \\\\ x=36 .\end{array}