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Finding the Fourth Proportional to 71,693.91, 107,540.87 and 29,597.81

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Solution

The fourth proportional to 71,693.91, 107,540.87 and 29,597.81 is: 44,396.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,693.91 : 107,540.87 = 29,597.81 : x
  2. Step 2: Convert to fraction form
    71,693.91/107,540.87 = 29,597.81/x
  3. Step 3: Cross multiply
    71,693.91x = 107,540.87 × 29,597.81
  4. Step 4: Simplify right side
    71,693.91x = 3,182,973,551.80
  5. Step 5: Solve for x
    x = 3,182,973,551.80/71,693.91
  6. Step 6: Final answer
    x = 44,396.71

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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.