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Finding the Fourth Proportional to 69,605.31, 96,080.24 and 41,311

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Solution

The fourth proportional to 69,605.31, 96,080.24 and 41,311 is: 57,023.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,605.31 : 96,080.24 = 41,311 : x
  2. Step 2: Convert to fraction form
    69,605.31/96,080.24 = 41,311/x
  3. Step 3: Cross multiply
    69,605.31x = 96,080.24 × 41,311
  4. Step 4: Simplify right side
    69,605.31x = 3,969,170,794.64
  5. Step 5: Solve for x
    x = 3,969,170,794.64/69,605.31
  6. Step 6: Final answer
    x = 57,023.97

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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.