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Finding the Fourth Proportional to 83,321.97, 124,957.23 and 24,162

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Solution

The fourth proportional to 83,321.97, 124,957.23 and 24,162 is: 36,235.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,321.97 : 124,957.23 = 24,162 : x
  2. Step 2: Convert to fraction form
    83,321.97/124,957.23 = 24,162/x
  3. Step 3: Cross multiply
    83,321.97x = 124,957.23 × 24,162
  4. Step 4: Simplify right side
    83,321.97x = 3,019,216,591.26
  5. Step 5: Solve for x
    x = 3,019,216,591.26/83,321.97
  6. Step 6: Final answer
    x = 36,235.54

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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.