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Finding the Fourth Proportional to 71,641.90, 107,456.26 and 24,251.58

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Solution

The fourth proportional to 71,641.90, 107,456.26 and 24,251.58 is: 36,375.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,641.90 : 107,456.26 = 24,251.58 : x
  2. Step 2: Convert to fraction form
    71,641.90/107,456.26 = 24,251.58/x
  3. Step 3: Cross multiply
    71,641.90x = 107,456.26 × 24,251.58
  4. Step 4: Simplify right side
    71,641.90x = 2,605,983,427.35
  5. Step 5: Solve for x
    x = 2,605,983,427.35/71,641.90
  6. Step 6: Final answer
    x = 36,375.13

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1.5x scale

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.