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Finding the Fourth Proportional to 131,328, 196,992 and 32,832

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Solution

The fourth proportional to 131,328, 196,992 and 32,832 is: 49,248

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,328 : 196,992 = 32,832 : x
  2. Step 2: Convert to fraction form
    131,328/196,992 = 32,832/x
  3. Step 3: Cross multiply
    131,328x = 196,992 × 32,832
  4. Step 4: Simplify right side
    131,328x = 6,467,641,344
  5. Step 5: Solve for x
    x = 6,467,641,344/131,328
  6. Step 6: Final answer
    x = 49,248

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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.