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Finding the Fourth Proportional to 33,843.20, 50,769.60 and 10,467.20

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Solution

The fourth proportional to 33,843.20, 50,769.60 and 10,467.20 is: 15,702.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,843.20 : 50,769.60 = 10,467.20 : x
  2. Step 2: Convert to fraction form
    33,843.20/50,769.60 = 10,467.20/x
  3. Step 3: Cross multiply
    33,843.20x = 50,769.60 × 10,467.20
  4. Step 4: Simplify right side
    33,843.20x = 531,415,557.12
  5. Step 5: Solve for x
    x = 531,415,557.12/33,843.20
  6. Step 6: Final answer
    x = 15,702.28

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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.