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Finding the Fourth Proportional to 69,876.84, 96,414.24 and 58,591.92

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Solution

The fourth proportional to 69,876.84, 96,414.24 and 58,591.92 is: 80,843.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,876.84 : 96,414.24 = 58,591.92 : x
  2. Step 2: Convert to fraction form
    69,876.84/96,414.24 = 58,591.92/x
  3. Step 3: Cross multiply
    69,876.84x = 96,414.24 × 58,591.92
  4. Step 4: Simplify right side
    69,876.84x = 5,649,095,436.94
  5. Step 5: Solve for x
    x = 5,649,095,436.94/69,876.84
  6. Step 6: Final answer
    x = 80,843.60

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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.