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Finding the Fourth Proportional to 106,600.46, 159,886.10 and 31,732.16

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Solution

The fourth proportional to 106,600.46, 159,886.10 and 31,732.16 is: 47,593.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,600.46 : 159,886.10 = 31,732.16 : x
  2. Step 2: Convert to fraction form
    106,600.46/159,886.10 = 31,732.16/x
  3. Step 3: Cross multiply
    106,600.46x = 159,886.10 × 31,732.16
  4. Step 4: Simplify right side
    106,600.46x = 5,073,531,306.98
  5. Step 5: Solve for x
    x = 5,073,531,306.98/106,600.46
  6. Step 6: Final answer
    x = 47,593.90

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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.