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Finding the Fourth Proportional to 69,793.38, 96,339.92 and 41,499

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Solution

The fourth proportional to 69,793.38, 96,339.92 and 41,499 is: 57,283.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,793.38 : 96,339.92 = 41,499 : x
  2. Step 2: Convert to fraction form
    69,793.38/96,339.92 = 41,499/x
  3. Step 3: Cross multiply
    69,793.38x = 96,339.92 × 41,499
  4. Step 4: Simplify right side
    69,793.38x = 3,998,010,340.08
  5. Step 5: Solve for x
    x = 3,998,010,340.08/69,793.38
  6. Step 6: Final answer
    x = 57,283.52

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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.