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Finding the Fourth Proportional to 33,220.14, 49,843.71 and 13,500.24

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Solution

The fourth proportional to 33,220.14, 49,843.71 and 13,500.24 is: 20,255.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,220.14 : 49,843.71 = 13,500.24 : x
  2. Step 2: Convert to fraction form
    33,220.14/49,843.71 = 13,500.24/x
  3. Step 3: Cross multiply
    33,220.14x = 49,843.71 × 13,500.24
  4. Step 4: Simplify right side
    33,220.14x = 672,902,047.49
  5. Step 5: Solve for x
    x = 672,902,047.49/33,220.14
  6. Step 6: Final answer
    x = 20,255.85

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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.