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Finding the Fourth Proportional to 71,769.96, 107,694.57 and 29,640.24

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Solution

The fourth proportional to 71,769.96, 107,694.57 and 29,640.24 is: 44,476.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,769.96 : 107,694.57 = 29,640.24 : x
  2. Step 2: Convert to fraction form
    71,769.96/107,694.57 = 29,640.24/x
  3. Step 3: Cross multiply
    71,769.96x = 107,694.57 × 29,640.24
  4. Step 4: Simplify right side
    71,769.96x = 3,192,092,608.79
  5. Step 5: Solve for x
    x = 3,192,092,608.79/71,769.96
  6. Step 6: Final answer
    x = 44,476.73

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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.