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Finding the Fourth Proportional to 69,204.78, 103,821.76 and 22,454.04

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Solution

The fourth proportional to 69,204.78, 103,821.76 and 22,454.04 is: 33,685.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,204.78 : 103,821.76 = 22,454.04 : x
  2. Step 2: Convert to fraction form
    69,204.78/103,821.76 = 22,454.04/x
  3. Step 3: Cross multiply
    69,204.78x = 103,821.76 × 22,454.04
  4. Step 4: Simplify right side
    69,204.78x = 2,331,217,951.91
  5. Step 5: Solve for x
    x = 2,331,217,951.91/69,204.78
  6. Step 6: Final answer
    x = 33,685.79

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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.