To simplify the expression \(-45.93 + 112 + (-61.24)\), we can first rewrite it as:
\[ -45.93 + 112 - 61.24 \]
Next, we can combine the numbers step-by-step.
- First, combine \(-45.93\) and \(112\):
\[ 112 - 45.93 = 66.07 \]
- Now, we take that result and subtract \(61.24\):
\[ 66.07 - 61.24 = 4.83 \]
So, the simplified expression is:
\[ \boxed{4.83} \]