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Finding the Fourth Proportional to 54,932, 82,398 and 22,100

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Solution

The fourth proportional to 54,932, 82,398 and 22,100 is: 33,150

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,932 : 82,398 = 22,100 : x
  2. Step 2: Convert to fraction form
    54,932/82,398 = 22,100/x
  3. Step 3: Cross multiply
    54,932x = 82,398 × 22,100
  4. Step 4: Simplify right side
    54,932x = 1,820,995,800
  5. Step 5: Solve for x
    x = 1,820,995,800/54,932
  6. Step 6: Final answer
    x = 33,150

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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.