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Finding the Fourth Proportional to 83,221.31, 124,863.41 and 49,964.58

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Solution

The fourth proportional to 83,221.31, 124,863.41 and 49,964.58 is: 74,965.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,221.31 : 124,863.41 = 49,964.58 : x
  2. Step 2: Convert to fraction form
    83,221.31/124,863.41 = 49,964.58/x
  3. Step 3: Cross multiply
    83,221.31x = 124,863.41 × 49,964.58
  4. Step 4: Simplify right side
    83,221.31x = 6,238,747,962.93
  5. Step 5: Solve for x
    x = 6,238,747,962.93/83,221.31
  6. Step 6: Final answer
    x = 74,965.75

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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.