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Finding the Fourth Proportional to 67,031.24, 100,559.82 and 25,475

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Solution

The fourth proportional to 67,031.24, 100,559.82 and 25,475 is: 38,217.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,031.24 : 100,559.82 = 25,475 : x
  2. Step 2: Convert to fraction form
    67,031.24/100,559.82 = 25,475/x
  3. Step 3: Cross multiply
    67,031.24x = 100,559.82 × 25,475
  4. Step 4: Simplify right side
    67,031.24x = 2,561,761,414.50
  5. Step 5: Solve for x
    x = 2,561,761,414.50/67,031.24
  6. Step 6: Final answer
    x = 38,217.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.