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Finding the Fourth Proportional to 106,192, 159,288 and 32,320

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Solution

The fourth proportional to 106,192, 159,288 and 32,320 is: 48,480

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,192 : 159,288 = 32,320 : x
  2. Step 2: Convert to fraction form
    106,192/159,288 = 32,320/x
  3. Step 3: Cross multiply
    106,192x = 159,288 × 32,320
  4. Step 4: Simplify right side
    106,192x = 5,148,188,160
  5. Step 5: Solve for x
    x = 5,148,188,160/106,192
  6. Step 6: Final answer
    x = 48,480

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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.