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Finding the Fourth Proportional to 54,891.32, 82,447.20 and 32,747.96

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Solution

The fourth proportional to 54,891.32, 82,447.20 and 32,747.96 is: 49,187.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,891.32 : 82,447.20 = 32,747.96 : x
  2. Step 2: Convert to fraction form
    54,891.32/82,447.20 = 32,747.96/x
  3. Step 3: Cross multiply
    54,891.32x = 82,447.20 × 32,747.96
  4. Step 4: Simplify right side
    54,891.32x = 2,699,977,607.71
  5. Step 5: Solve for x
    x = 2,699,977,607.71/54,891.32
  6. Step 6: Final answer
    x = 49,187.70

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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.