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Finding the Fourth Proportional to 83,463.72, 125,169.15 and 27,290.85

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Solution

The fourth proportional to 83,463.72, 125,169.15 and 27,290.85 is: 40,927.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,463.72 : 125,169.15 = 27,290.85 : x
  2. Step 2: Convert to fraction form
    83,463.72/125,169.15 = 27,290.85/x
  3. Step 3: Cross multiply
    83,463.72x = 125,169.15 × 27,290.85
  4. Step 4: Simplify right side
    83,463.72x = 3,415,972,497.28
  5. Step 5: Solve for x
    x = 3,415,972,497.28/83,463.72
  6. Step 6: Final answer
    x = 40,927.63

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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.