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Finding the Fourth Proportional to 33,414.98, 50,116.86 and 15,647.49

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Solution

The fourth proportional to 33,414.98, 50,116.86 and 15,647.49 is: 23,468.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,414.98 : 50,116.86 = 15,647.49 : x
  2. Step 2: Convert to fraction form
    33,414.98/50,116.86 = 15,647.49/x
  3. Step 3: Cross multiply
    33,414.98x = 50,116.86 × 15,647.49
  4. Step 4: Simplify right side
    33,414.98x = 784,203,065.68
  5. Step 5: Solve for x
    x = 784,203,065.68/33,414.98
  6. Step 6: Final answer
    x = 23,468.61

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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.