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Finding the Fourth Proportional to 83,583.46, 125,380.25 and 33,663.56

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Solution

The fourth proportional to 83,583.46, 125,380.25 and 33,663.56 is: 50,497.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,583.46 : 125,380.25 = 33,663.56 : x
  2. Step 2: Convert to fraction form
    83,583.46/125,380.25 = 33,663.56/x
  3. Step 3: Cross multiply
    83,583.46x = 125,380.25 × 33,663.56
  4. Step 4: Simplify right side
    83,583.46x = 4,220,745,568.69
  5. Step 5: Solve for x
    x = 4,220,745,568.69/83,583.46
  6. Step 6: Final answer
    x = 50,497.38

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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.