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Finding the Fourth Proportional to 33,149.80, 49,724.70 and 13,418.20

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Solution

The fourth proportional to 33,149.80, 49,724.70 and 13,418.20 is: 20,127.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,149.80 : 49,724.70 = 13,418.20 : x
  2. Step 2: Convert to fraction form
    33,149.80/49,724.70 = 13,418.20/x
  3. Step 3: Cross multiply
    33,149.80x = 49,724.70 × 13,418.20
  4. Step 4: Simplify right side
    33,149.80x = 667,215,969.54
  5. Step 5: Solve for x
    x = 667,215,969.54/33,149.80
  6. Step 6: Final answer
    x = 20,127.30

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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.