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Finding the Fourth Proportional to 33,843.88, 50,765.82 and 9,219.88

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Solution

The fourth proportional to 33,843.88, 50,765.82 and 9,219.88 is: 13,829.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,843.88 : 50,765.82 = 9,219.88 : x
  2. Step 2: Convert to fraction form
    33,843.88/50,765.82 = 9,219.88/x
  3. Step 3: Cross multiply
    33,843.88x = 50,765.82 × 9,219.88
  4. Step 4: Simplify right side
    33,843.88x = 468,054,468.57
  5. Step 5: Solve for x
    x = 468,054,468.57/33,843.88
  6. Step 6: Final answer
    x = 13,829.81

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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.