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Finding the Fourth Proportional to 33,481.77, 50,218.20 and 8,519.60

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Solution

The fourth proportional to 33,481.77, 50,218.20 and 8,519.60 is: 12,778.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,481.77 : 50,218.20 = 8,519.60 : x
  2. Step 2: Convert to fraction form
    33,481.77/50,218.20 = 8,519.60/x
  3. Step 3: Cross multiply
    33,481.77x = 50,218.20 × 8,519.60
  4. Step 4: Simplify right side
    33,481.77x = 427,838,725.63
  5. Step 5: Solve for x
    x = 427,838,725.63/33,481.77
  6. Step 6: Final answer
    x = 12,778.26

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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.