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Finding the Fourth Proportional to 92,029.16, 138,097.32 and 38,717.30

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Solution

The fourth proportional to 92,029.16, 138,097.32 and 38,717.30 is: 58,098.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,029.16 : 138,097.32 = 38,717.30 : x
  2. Step 2: Convert to fraction form
    92,029.16/138,097.32 = 38,717.30/x
  3. Step 3: Cross multiply
    92,029.16x = 138,097.32 × 38,717.30
  4. Step 4: Simplify right side
    92,029.16x = 5,346,755,367.64
  5. Step 5: Solve for x
    x = 5,346,755,367.64/92,029.16
  6. Step 6: Final answer
    x = 58,098.49

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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.