#### Answer

$x=36$

#### Work Step by Step

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}