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Finding the Fourth Proportional to 33,520.25, 50,286.86 and 12,742.13

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Solution

The fourth proportional to 33,520.25, 50,286.86 and 12,742.13 is: 19,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,520.25 : 50,286.86 = 12,742.13 : x
  2. Step 2: Convert to fraction form
    33,520.25/50,286.86 = 12,742.13/x
  3. Step 3: Cross multiply
    33,520.25x = 50,286.86 × 12,742.13
  4. Step 4: Simplify right side
    33,520.25x = 640,761,392.27
  5. Step 5: Solve for x
    x = 640,761,392.27/33,520.25
  6. Step 6: Final answer
    x = 19,115.65

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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.