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Finding the Fourth Proportional to 83,042.50, 124,562.58 and 38,644.42

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Solution

The fourth proportional to 83,042.50, 124,562.58 and 38,644.42 is: 57,966.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,042.50 : 124,562.58 = 38,644.42 : x
  2. Step 2: Convert to fraction form
    83,042.50/124,562.58 = 38,644.42/x
  3. Step 3: Cross multiply
    83,042.50x = 124,562.58 × 38,644.42
  4. Step 4: Simplify right side
    83,042.50x = 4,813,648,657.80
  5. Step 5: Solve for x
    x = 4,813,648,657.80/83,042.50
  6. Step 6: Final answer
    x = 57,966.09

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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.