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Finding the Fourth Proportional to 83,115.30, 124,497.45 and 55,048.80

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Solution

The fourth proportional to 83,115.30, 124,497.45 and 55,048.80 is: 82,456.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,115.30 : 124,497.45 = 55,048.80 : x
  2. Step 2: Convert to fraction form
    83,115.30/124,497.45 = 55,048.80/x
  3. Step 3: Cross multiply
    83,115.30x = 124,497.45 × 55,048.80
  4. Step 4: Simplify right side
    83,115.30x = 6,853,435,225.56
  5. Step 5: Solve for x
    x = 6,853,435,225.56/83,115.30
  6. Step 6: Final answer
    x = 82,456.96

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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.