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Finding the Fourth Proportional to 71,631.52, 107,419.42 and 24,233.92

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Solution

The fourth proportional to 71,631.52, 107,419.42 and 24,233.92 is: 36,341.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,631.52 : 107,419.42 = 24,233.92 : x
  2. Step 2: Convert to fraction form
    71,631.52/107,419.42 = 24,233.92/x
  3. Step 3: Cross multiply
    71,631.52x = 107,419.42 × 24,233.92
  4. Step 4: Simplify right side
    71,631.52x = 2,603,193,630.73
  5. Step 5: Solve for x
    x = 2,603,193,630.73/71,631.52
  6. Step 6: Final answer
    x = 36,341.45

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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.