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Finding the Fourth Proportional to 83,539.62, 125,297.10 and 24,359.40

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Solution

The fourth proportional to 83,539.62, 125,297.10 and 24,359.40 is: 36,535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,539.62 : 125,297.10 = 24,359.40 : x
  2. Step 2: Convert to fraction form
    83,539.62/125,297.10 = 24,359.40/x
  3. Step 3: Cross multiply
    83,539.62x = 125,297.10 × 24,359.40
  4. Step 4: Simplify right side
    83,539.62x = 3,052,162,177.74
  5. Step 5: Solve for x
    x = 3,052,162,177.74/83,539.62
  6. Step 6: Final answer
    x = 36,535.50

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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.