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Finding the Fourth Proportional to 82,331.92, 113,550.42 and 50,478.40

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Solution

The fourth proportional to 82,331.92, 113,550.42 and 50,478.40 is: 69,618.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,331.92 : 113,550.42 = 50,478.40 : x
  2. Step 2: Convert to fraction form
    82,331.92/113,550.42 = 50,478.40/x
  3. Step 3: Cross multiply
    82,331.92x = 113,550.42 × 50,478.40
  4. Step 4: Simplify right side
    82,331.92x = 5,731,843,520.93
  5. Step 5: Solve for x
    x = 5,731,843,520.93/82,331.92
  6. Step 6: Final answer
    x = 69,618.73

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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.