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Finding the Fourth Proportional to 96,874.38, 133,698.60 and 54,432

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Solution

The fourth proportional to 96,874.38, 133,698.60 and 54,432 is: 75,122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,874.38 : 133,698.60 = 54,432 : x
  2. Step 2: Convert to fraction form
    96,874.38/133,698.60 = 54,432/x
  3. Step 3: Cross multiply
    96,874.38x = 133,698.60 × 54,432
  4. Step 4: Simplify right side
    96,874.38x = 7,277,482,195.20
  5. Step 5: Solve for x
    x = 7,277,482,195.20/96,874.38
  6. Step 6: Final answer
    x = 75,122.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.