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Finding the Fourth Proportional to 69,398.40, 104,082.02 and 31,922.48

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Solution

The fourth proportional to 69,398.40, 104,082.02 and 31,922.48 is: 47,876.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,398.40 : 104,082.02 = 31,922.48 : x
  2. Step 2: Convert to fraction form
    69,398.40/104,082.02 = 31,922.48/x
  3. Step 3: Cross multiply
    69,398.40x = 104,082.02 × 31,922.48
  4. Step 4: Simplify right side
    69,398.40x = 3,322,555,521.79
  5. Step 5: Solve for x
    x = 3,322,555,521.79/69,398.40
  6. Step 6: Final answer
    x = 47,876.54

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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.