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Finding the Fourth Proportional to 92,398.10, 138,575.95 and 25,842.92

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Solution

The fourth proportional to 92,398.10, 138,575.95 and 25,842.92 is: 38,758.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,398.10 : 138,575.95 = 25,842.92 : x
  2. Step 2: Convert to fraction form
    92,398.10/138,575.95 = 25,842.92/x
  3. Step 3: Cross multiply
    92,398.10x = 138,575.95 × 25,842.92
  4. Step 4: Simplify right side
    92,398.10x = 3,581,207,471.61
  5. Step 5: Solve for x
    x = 3,581,207,471.61/92,398.10
  6. Step 6: Final answer
    x = 38,758.46

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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.