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Finding the Fourth Proportional to 81,472.38, 122,224.17 and 28,162.44

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Solution

The fourth proportional to 81,472.38, 122,224.17 and 28,162.44 is: 42,249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,472.38 : 122,224.17 = 28,162.44 : x
  2. Step 2: Convert to fraction form
    81,472.38/122,224.17 = 28,162.44/x
  3. Step 3: Cross multiply
    81,472.38x = 122,224.17 × 28,162.44
  4. Step 4: Simplify right side
    81,472.38x = 3,442,130,854.17
  5. Step 5: Solve for x
    x = 3,442,130,854.17/81,472.38
  6. Step 6: Final answer
    x = 42,249.05

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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.