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Finding the Fourth Proportional to 92,196.46, 138,207.21 and 33,001.66

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Solution

The fourth proportional to 92,196.46, 138,207.21 and 33,001.66 is: 49,471.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,196.46 : 138,207.21 = 33,001.66 : x
  2. Step 2: Convert to fraction form
    92,196.46/138,207.21 = 33,001.66/x
  3. Step 3: Cross multiply
    92,196.46x = 138,207.21 × 33,001.66
  4. Step 4: Simplify right side
    92,196.46x = 4,561,067,353.97
  5. Step 5: Solve for x
    x = 4,561,067,353.97/92,196.46
  6. Step 6: Final answer
    x = 49,471.18

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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.