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Finding the Fourth Proportional to 69,891.60, 96,443.12 and 41,591.76

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Solution

The fourth proportional to 69,891.60, 96,443.12 and 41,591.76 is: 57,392.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,891.60 : 96,443.12 = 41,591.76 : x
  2. Step 2: Convert to fraction form
    69,891.60/96,443.12 = 41,591.76/x
  3. Step 3: Cross multiply
    69,891.60x = 96,443.12 × 41,591.76
  4. Step 4: Simplify right side
    69,891.60x = 4,011,239,100.69
  5. Step 5: Solve for x
    x = 4,011,239,100.69/69,891.60
  6. Step 6: Final answer
    x = 57,392.29

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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.