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Finding the Fourth Proportional to 33,132.42, 49,697.19 and 8,171.28

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Solution

The fourth proportional to 33,132.42, 49,697.19 and 8,171.28 is: 12,256.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,132.42 : 49,697.19 = 8,171.28 : x
  2. Step 2: Convert to fraction form
    33,132.42/49,697.19 = 8,171.28/x
  3. Step 3: Cross multiply
    33,132.42x = 49,697.19 × 8,171.28
  4. Step 4: Simplify right side
    33,132.42x = 406,089,654.70
  5. Step 5: Solve for x
    x = 406,089,654.70/33,132.42
  6. Step 6: Final answer
    x = 12,256.56

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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.