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Finding the Fourth Proportional to 82,166.48, 123,217.32 and 44,757.44

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Solution

The fourth proportional to 82,166.48, 123,217.32 and 44,757.44 is: 67,118.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,166.48 : 123,217.32 = 44,757.44 : x
  2. Step 2: Convert to fraction form
    82,166.48/123,217.32 = 44,757.44/x
  3. Step 3: Cross multiply
    82,166.48x = 123,217.32 × 44,757.44
  4. Step 4: Simplify right side
    82,166.48x = 5,514,891,806.86
  5. Step 5: Solve for x
    x = 5,514,891,806.86/82,166.48
  6. Step 6: Final answer
    x = 67,118.51

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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.