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Finding the Fourth Proportional to 33,464.92, 50,197.42 and 13,729.64

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Solution

The fourth proportional to 33,464.92, 50,197.42 and 13,729.64 is: 20,594.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,464.92 : 50,197.42 = 13,729.64 : x
  2. Step 2: Convert to fraction form
    33,464.92/50,197.42 = 13,729.64/x
  3. Step 3: Cross multiply
    33,464.92x = 50,197.42 × 13,729.64
  4. Step 4: Simplify right side
    33,464.92x = 689,192,505.53
  5. Step 5: Solve for x
    x = 689,192,505.53/33,464.92
  6. Step 6: Final answer
    x = 20,594.48

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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.