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Finding the Fourth Proportional to 82,138.47, 123,221.03 and 32,191.49

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Solution

The fourth proportional to 82,138.47, 123,221.03 and 32,191.49 is: 48,292.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,138.47 : 123,221.03 = 32,191.49 : x
  2. Step 2: Convert to fraction form
    82,138.47/123,221.03 = 32,191.49/x
  3. Step 3: Cross multiply
    82,138.47x = 123,221.03 × 32,191.49
  4. Step 4: Simplify right side
    82,138.47x = 3,966,667,777.97
  5. Step 5: Solve for x
    x = 3,966,667,777.97/82,138.47
  6. Step 6: Final answer
    x = 48,292.45

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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.