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Finding the Fourth Proportional to 50,414.27, 75,668.13 and 25,471.88

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Solution

The fourth proportional to 50,414.27, 75,668.13 and 25,471.88 is: 38,231.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,414.27 : 75,668.13 = 25,471.88 : x
  2. Step 2: Convert to fraction form
    50,414.27/75,668.13 = 25,471.88/x
  3. Step 3: Cross multiply
    50,414.27x = 75,668.13 × 25,471.88
  4. Step 4: Simplify right side
    50,414.27x = 1,927,409,527.18
  5. Step 5: Solve for x
    x = 1,927,409,527.18/50,414.27
  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.