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Finding the Fourth Proportional to 37,892.68, 56,847.24 and 14,519.14

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Solution

The fourth proportional to 37,892.68, 56,847.24 and 14,519.14 is: 21,781.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,892.68 : 56,847.24 = 14,519.14 : x
  2. Step 2: Convert to fraction form
    37,892.68/56,847.24 = 14,519.14/x
  3. Step 3: Cross multiply
    37,892.68x = 56,847.24 × 14,519.14
  4. Step 4: Simplify right side
    37,892.68x = 825,373,036.17
  5. Step 5: Solve for x
    x = 825,373,036.17/37,892.68
  6. Step 6: Final answer
    x = 21,781.86

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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.