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Finding the Fourth Proportional to 132,370, 198,555 and 33,874

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Solution

The fourth proportional to 132,370, 198,555 and 33,874 is: 50,811

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,370 : 198,555 = 33,874 : x
  2. Step 2: Convert to fraction form
    132,370/198,555 = 33,874/x
  3. Step 3: Cross multiply
    132,370x = 198,555 × 33,874
  4. Step 4: Simplify right side
    132,370x = 6,725,852,070
  5. Step 5: Solve for x
    x = 6,725,852,070/132,370
  6. Step 6: Final answer
    x = 50,811

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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.