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Finding the Fourth Proportional to 54,967.56, 82,449.96 and 15,524.11

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Solution

The fourth proportional to 54,967.56, 82,449.96 and 15,524.11 is: 23,285.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,967.56 : 82,449.96 = 15,524.11 : x
  2. Step 2: Convert to fraction form
    54,967.56/82,449.96 = 15,524.11/x
  3. Step 3: Cross multiply
    54,967.56x = 82,449.96 × 15,524.11
  4. Step 4: Simplify right side
    54,967.56x = 1,279,962,248.54
  5. Step 5: Solve for x
    x = 1,279,962,248.54/54,967.56
  6. Step 6: Final answer
    x = 23,285.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.