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Finding the Fourth Proportional to 131,344, 197,016 and 32,848

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Solution

The fourth proportional to 131,344, 197,016 and 32,848 is: 49,272

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,344 : 197,016 = 32,848 : x
  2. Step 2: Convert to fraction form
    131,344/197,016 = 32,848/x
  3. Step 3: Cross multiply
    131,344x = 197,016 × 32,848
  4. Step 4: Simplify right side
    131,344x = 6,471,581,568
  5. Step 5: Solve for x
    x = 6,471,581,568/131,344
  6. Step 6: Final answer
    x = 49,272

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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.