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Finding the Fourth Proportional to 83,474.54, 125,376.44 and 71,724.26

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Solution

The fourth proportional to 83,474.54, 125,376.44 and 71,724.26 is: 107,727.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,474.54 : 125,376.44 = 71,724.26 : x
  2. Step 2: Convert to fraction form
    83,474.54/125,376.44 = 71,724.26/x
  3. Step 3: Cross multiply
    83,474.54x = 125,376.44 × 71,724.26
  4. Step 4: Simplify right side
    83,474.54x = 8,992,532,380.43
  5. Step 5: Solve for x
    x = 8,992,532,380.43/83,474.54
  6. Step 6: Final answer
    x = 107,727.85

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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.