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Finding the Fourth Proportional to 92,488.61, 138,805.86 and 47,508.14

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Solution

The fourth proportional to 92,488.61, 138,805.86 and 47,508.14 is: 71,299.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,488.61 : 138,805.86 = 47,508.14 : x
  2. Step 2: Convert to fraction form
    92,488.61/138,805.86 = 47,508.14/x
  3. Step 3: Cross multiply
    92,488.61x = 138,805.86 × 47,508.14
  4. Step 4: Simplify right side
    92,488.61x = 6,594,408,229.70
  5. Step 5: Solve for x
    x = 6,594,408,229.70/92,488.61
  6. Step 6: Final answer
    x = 71,299.68

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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.