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Finding the Fourth Proportional to 42,441.60, 63,691.20 and 27,614.40

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Solution

The fourth proportional to 42,441.60, 63,691.20 and 27,614.40 is: 41,440.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,441.60 : 63,691.20 = 27,614.40 : x
  2. Step 2: Convert to fraction form
    42,441.60/63,691.20 = 27,614.40/x
  3. Step 3: Cross multiply
    42,441.60x = 63,691.20 × 27,614.40
  4. Step 4: Simplify right side
    42,441.60x = 1,758,794,273.28
  5. Step 5: Solve for x
    x = 1,758,794,273.28/42,441.60
  6. Step 6: Final answer
    x = 41,440.34

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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.