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Finding the Fourth Proportional to 107,651.41, 161,500.46 and 32,769.60

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Solution

The fourth proportional to 107,651.41, 161,500.46 and 32,769.60 is: 49,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,651.41 : 161,500.46 = 32,769.60 : x
  2. Step 2: Convert to fraction form
    107,651.41/161,500.46 = 32,769.60/x
  3. Step 3: Cross multiply
    107,651.41x = 161,500.46 × 32,769.60
  4. Step 4: Simplify right side
    107,651.41x = 5,292,305,310.17
  5. Step 5: Solve for x
    x = 5,292,305,310.17/107,651.41
  6. Step 6: Final answer
    x = 49,161.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.