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Finding the Fourth Proportional to 71,654.26, 107,496.67 and 24,267.69

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Solution

The fourth proportional to 71,654.26, 107,496.67 and 24,267.69 is: 36,406.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,654.26 : 107,496.67 = 24,267.69 : x
  2. Step 2: Convert to fraction form
    71,654.26/107,496.67 = 24,267.69/x
  3. Step 3: Cross multiply
    71,654.26x = 107,496.67 × 24,267.69
  4. Step 4: Simplify right side
    71,654.26x = 2,608,695,894.76
  5. Step 5: Solve for x
    x = 2,608,695,894.76/71,654.26
  6. Step 6: Final answer
    x = 36,406.71

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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.