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Finding the Fourth Proportional to 50,414.28, 75,668.14 and 25,471.88

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Solution

The fourth proportional to 50,414.28, 75,668.14 and 25,471.88 is: 38,231.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,414.28 : 75,668.14 = 25,471.88 : x
  2. Step 2: Convert to fraction form
    50,414.28/75,668.14 = 25,471.88/x
  3. Step 3: Cross multiply
    50,414.28x = 75,668.14 × 25,471.88
  4. Step 4: Simplify right side
    50,414.28x = 1,927,409,781.90
  5. Step 5: Solve for x
    x = 1,927,409,781.90/50,414.28
  6. Step 6: Final answer
    x = 38,231.43

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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.