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Finding the Fourth Proportional to 82,550.82, 123,737.55 and 54,076.86

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Solution

The fourth proportional to 82,550.82, 123,737.55 and 54,076.86 is: 81,057.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,550.82 : 123,737.55 = 54,076.86 : x
  2. Step 2: Convert to fraction form
    82,550.82/123,737.55 = 54,076.86/x
  3. Step 3: Cross multiply
    82,550.82x = 123,737.55 × 54,076.86
  4. Step 4: Simplify right side
    82,550.82x = 6,691,338,168.09
  5. Step 5: Solve for x
    x = 6,691,338,168.09/82,550.82
  6. Step 6: Final answer
    x = 81,057.20

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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.