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Finding the Fourth Proportional to 83,229.94, 124,844.36 and 33,321.58

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Solution

The fourth proportional to 83,229.94, 124,844.36 and 33,321.58 is: 49,982.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,229.94 : 124,844.36 = 33,321.58 : x
  2. Step 2: Convert to fraction form
    83,229.94/124,844.36 = 33,321.58/x
  3. Step 3: Cross multiply
    83,229.94x = 124,844.36 × 33,321.58
  4. Step 4: Simplify right side
    83,229.94x = 4,160,011,329.29
  5. Step 5: Solve for x
    x = 4,160,011,329.29/83,229.94
  6. Step 6: Final answer
    x = 49,982.15

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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.