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Finding the Fourth Proportional to 71,737.92, 107,605.94 and 32,267.16

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Solution

The fourth proportional to 71,737.92, 107,605.94 and 32,267.16 is: 48,400.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,737.92 : 107,605.94 = 32,267.16 : x
  2. Step 2: Convert to fraction form
    71,737.92/107,605.94 = 32,267.16/x
  3. Step 3: Cross multiply
    71,737.92x = 107,605.94 × 32,267.16
  4. Step 4: Simplify right side
    71,737.92x = 3,472,137,921.59
  5. Step 5: Solve for x
    x = 3,472,137,921.59/71,737.92
  6. Step 6: Final answer
    x = 48,400.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.