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Finding the Fourth Proportional to 33,105.96, 49,658.82 and 13,384.28

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Solution

The fourth proportional to 33,105.96, 49,658.82 and 13,384.28 is: 20,076.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,105.96 : 49,658.82 = 13,384.28 : x
  2. Step 2: Convert to fraction form
    33,105.96/49,658.82 = 13,384.28/x
  3. Step 3: Cross multiply
    33,105.96x = 49,658.82 × 13,384.28
  4. Step 4: Simplify right side
    33,105.96x = 664,647,551.35
  5. Step 5: Solve for x
    x = 664,647,551.35/33,105.96
  6. Step 6: Final answer
    x = 20,076.37

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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.