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Finding the Fourth Proportional to 32,062.38, 48,098.13 and 9,877.56

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Solution

The fourth proportional to 32,062.38, 48,098.13 and 9,877.56 is: 14,817.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,062.38 : 48,098.13 = 9,877.56 : x
  2. Step 2: Convert to fraction form
    32,062.38/48,098.13 = 9,877.56/x
  3. Step 3: Cross multiply
    32,062.38x = 48,098.13 × 9,877.56
  4. Step 4: Simplify right side
    32,062.38x = 475,092,164.96
  5. Step 5: Solve for x
    x = 475,092,164.96/32,062.38
  6. Step 6: Final answer
    x = 14,817.74

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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.