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Finding the Fourth Proportional to 33,174, 49,760.69 and 13,447.87

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Solution

The fourth proportional to 33,174, 49,760.69 and 13,447.87 is: 20,171.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,174 : 49,760.69 = 13,447.87 : x
  2. Step 2: Convert to fraction form
    33,174/49,760.69 = 13,447.87/x
  3. Step 3: Cross multiply
    33,174x = 49,760.69 × 13,447.87
  4. Step 4: Simplify right side
    33,174x = 669,175,290.23
  5. Step 5: Solve for x
    x = 669,175,290.23/33,174
  6. Step 6: Final answer
    x = 20,171.68

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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.