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Finding the Fourth Proportional to 33,135.52, 49,720.56 and 13,428.64

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Solution

The fourth proportional to 33,135.52, 49,720.56 and 13,428.64 is: 20,149.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,135.52 : 49,720.56 = 13,428.64 : x
  2. Step 2: Convert to fraction form
    33,135.52/49,720.56 = 13,428.64/x
  3. Step 3: Cross multiply
    33,135.52x = 49,720.56 × 13,428.64
  4. Step 4: Simplify right side
    33,135.52x = 667,679,500.84
  5. Step 5: Solve for x
    x = 667,679,500.84/33,135.52
  6. Step 6: Final answer
    x = 20,149.96

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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.