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Finding the Fourth Proportional to 37,781.64, 52,142.09 and 20,789.28

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Solution

The fourth proportional to 37,781.64, 52,142.09 and 20,789.28 is: 28,691.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,781.64 : 52,142.09 = 20,789.28 : x
  2. Step 2: Convert to fraction form
    37,781.64/52,142.09 = 20,789.28/x
  3. Step 3: Cross multiply
    37,781.64x = 52,142.09 × 20,789.28
  4. Step 4: Simplify right side
    37,781.64x = 1,083,996,404.85
  5. Step 5: Solve for x
    x = 1,083,996,404.85/37,781.64
  6. Step 6: Final answer
    x = 28,691.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.