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Finding the Fourth Proportional to 83,405.97, 125,108.50 and 20,226.04

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Solution

The fourth proportional to 83,405.97, 125,108.50 and 20,226.04 is: 30,338.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,405.97 : 125,108.50 = 20,226.04 : x
  2. Step 2: Convert to fraction form
    83,405.97/125,108.50 = 20,226.04/x
  3. Step 3: Cross multiply
    83,405.97x = 125,108.50 × 20,226.04
  4. Step 4: Simplify right side
    83,405.97x = 2,530,449,525.34
  5. Step 5: Solve for x
    x = 2,530,449,525.34/83,405.97
  6. Step 6: Final answer
    x = 30,338.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.