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Finding the Fourth Proportional to 76,542.96, 105,631.05 and 42,550.15

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Solution

The fourth proportional to 76,542.96, 105,631.05 and 42,550.15 is: 58,720.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,542.96 : 105,631.05 = 42,550.15 : x
  2. Step 2: Convert to fraction form
    76,542.96/105,631.05 = 42,550.15/x
  3. Step 3: Cross multiply
    76,542.96x = 105,631.05 × 42,550.15
  4. Step 4: Simplify right side
    76,542.96x = 4,494,617,022.16
  5. Step 5: Solve for x
    x = 4,494,617,022.16/76,542.96
  6. Step 6: Final answer
    x = 58,720.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.