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Finding the Fourth Proportional to 107,427, 161,149.14 and 33,555

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Solution

The fourth proportional to 107,427, 161,149.14 and 33,555 is: 50,335.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,427 : 161,149.14 = 33,555 : x
  2. Step 2: Convert to fraction form
    107,427/161,149.14 = 33,555/x
  3. Step 3: Cross multiply
    107,427x = 161,149.14 × 33,555
  4. Step 4: Simplify right side
    107,427x = 5,407,359,392.70
  5. Step 5: Solve for x
    x = 5,407,359,392.70/107,427
  6. Step 6: Final answer
    x = 50,335.20

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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.