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Finding the Fourth Proportional to 54,517.28, 75,234.24 and 30,644

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Solution

The fourth proportional to 54,517.28, 75,234.24 and 30,644 is: 42,288.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,517.28 : 75,234.24 = 30,644 : x
  2. Step 2: Convert to fraction form
    54,517.28/75,234.24 = 30,644/x
  3. Step 3: Cross multiply
    54,517.28x = 75,234.24 × 30,644
  4. Step 4: Simplify right side
    54,517.28x = 2,305,478,050.56
  5. Step 5: Solve for x
    x = 2,305,478,050.56/54,517.28
  6. Step 6: Final answer
    x = 42,288.94

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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.