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Finding the Fourth Proportional to 38,427.50, 57,591.02 and 19,691.66

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Solution

The fourth proportional to 38,427.50, 57,591.02 and 19,691.66 is: 29,511.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,427.50 : 57,591.02 = 19,691.66 : x
  2. Step 2: Convert to fraction form
    38,427.50/57,591.02 = 19,691.66/x
  3. Step 3: Cross multiply
    38,427.50x = 57,591.02 × 19,691.66
  4. Step 4: Simplify right side
    38,427.50x = 1,134,062,784.89
  5. Step 5: Solve for x
    x = 1,134,062,784.89/38,427.50
  6. Step 6: Final answer
    x = 29,511.75

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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.