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Finding the Fourth Proportional to 69,398.65, 104,082.39 and 31,922.73

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Solution

The fourth proportional to 69,398.65, 104,082.39 and 31,922.73 is: 47,876.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,398.65 : 104,082.39 = 31,922.73 : x
  2. Step 2: Convert to fraction form
    69,398.65/104,082.39 = 31,922.73/x
  3. Step 3: Cross multiply
    69,398.65x = 104,082.39 × 31,922.73
  4. Step 4: Simplify right side
    69,398.65x = 3,322,594,033.72
  5. Step 5: Solve for x
    x = 3,322,594,033.72/69,398.65
  6. Step 6: Final answer
    x = 47,876.93

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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.