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Finding the Fourth Proportional to 107,463, 161,195.22 and 33,591

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Solution

The fourth proportional to 107,463, 161,195.22 and 33,591 is: 50,386.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,463 : 161,195.22 = 33,591 : x
  2. Step 2: Convert to fraction form
    107,463/161,195.22 = 33,591/x
  3. Step 3: Cross multiply
    107,463x = 161,195.22 × 33,591
  4. Step 4: Simplify right side
    107,463x = 5,414,708,635.02
  5. Step 5: Solve for x
    x = 5,414,708,635.02/107,463
  6. Step 6: Final answer
    x = 50,386.73

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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.