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Finding the Fourth Proportional to 72,765.38, 109,148.10 and 32,737.61

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Solution

The fourth proportional to 72,765.38, 109,148.10 and 32,737.61 is: 49,106.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,765.38 : 109,148.10 = 32,737.61 : x
  2. Step 2: Convert to fraction form
    72,765.38/109,148.10 = 32,737.61/x
  3. Step 3: Cross multiply
    72,765.38x = 109,148.10 × 32,737.61
  4. Step 4: Simplify right side
    72,765.38x = 3,573,247,930.04
  5. Step 5: Solve for x
    x = 3,573,247,930.04/72,765.38
  6. Step 6: Final answer
    x = 49,106.43

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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.