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Finding the Fourth Proportional to 82,171.68, 123,201.84 and 32,220.48

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Solution

The fourth proportional to 82,171.68, 123,201.84 and 32,220.48 is: 48,308.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,171.68 : 123,201.84 = 32,220.48 : x
  2. Step 2: Convert to fraction form
    82,171.68/123,201.84 = 32,220.48/x
  3. Step 3: Cross multiply
    82,171.68x = 123,201.84 × 32,220.48
  4. Step 4: Simplify right side
    82,171.68x = 3,969,622,421.68
  5. Step 5: Solve for x
    x = 3,969,622,421.68/82,171.68
  6. Step 6: Final answer
    x = 48,308.89

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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.