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Finding the Fourth Proportional to 33,631.80, 50,447.70 and 10,255.20

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Solution

The fourth proportional to 33,631.80, 50,447.70 and 10,255.20 is: 15,382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,631.80 : 50,447.70 = 10,255.20 : x
  2. Step 2: Convert to fraction form
    33,631.80/50,447.70 = 10,255.20/x
  3. Step 3: Cross multiply
    33,631.80x = 50,447.70 × 10,255.20
  4. Step 4: Simplify right side
    33,631.80x = 517,351,253.04
  5. Step 5: Solve for x
    x = 517,351,253.04/33,631.80
  6. Step 6: Final answer
    x = 15,382.80

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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.