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Finding the Fourth Proportional to 71,373.38, 106,975.02 and 29,251.76

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Solution

The fourth proportional to 71,373.38, 106,975.02 and 29,251.76 is: 43,842.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,373.38 : 106,975.02 = 29,251.76 : x
  2. Step 2: Convert to fraction form
    71,373.38/106,975.02 = 29,251.76/x
  3. Step 3: Cross multiply
    71,373.38x = 106,975.02 × 29,251.76
  4. Step 4: Simplify right side
    71,373.38x = 3,129,207,611.04
  5. Step 5: Solve for x
    x = 3,129,207,611.04/71,373.38
  6. Step 6: Final answer
    x = 43,842.78

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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.