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Finding the Fourth Proportional to 121,344, 182,016 and 33,792

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Solution

The fourth proportional to 121,344, 182,016 and 33,792 is: 50,688

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,344 : 182,016 = 33,792 : x
  2. Step 2: Convert to fraction form
    121,344/182,016 = 33,792/x
  3. Step 3: Cross multiply
    121,344x = 182,016 × 33,792
  4. Step 4: Simplify right side
    121,344x = 6,150,684,672
  5. Step 5: Solve for x
    x = 6,150,684,672/121,344
  6. Step 6: Final answer
    x = 50,688

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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.