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Finding the Fourth Proportional to 33,102.60, 49,654.44 and 8,142.72

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Solution

The fourth proportional to 33,102.60, 49,654.44 and 8,142.72 is: 12,214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,102.60 : 49,654.44 = 8,142.72 : x
  2. Step 2: Convert to fraction form
    33,102.60/49,654.44 = 8,142.72/x
  3. Step 3: Cross multiply
    33,102.60x = 49,654.44 × 8,142.72
  4. Step 4: Simplify right side
    33,102.60x = 404,322,201.68
  5. Step 5: Solve for x
    x = 404,322,201.68/33,102.60
  6. Step 6: Final answer
    x = 12,214.21

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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.