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Finding the Fourth Proportional to 23,104.38, 31,806.90 and 22,046.42

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Solution

The fourth proportional to 23,104.38, 31,806.90 and 22,046.42 is: 30,350.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,104.38 : 31,806.90 = 22,046.42 : x
  2. Step 2: Convert to fraction form
    23,104.38/31,806.90 = 22,046.42/x
  3. Step 3: Cross multiply
    23,104.38x = 31,806.90 × 22,046.42
  4. Step 4: Simplify right side
    23,104.38x = 701,228,276.30
  5. Step 5: Solve for x
    x = 701,228,276.30/23,104.38
  6. Step 6: Final answer
    x = 30,350.45

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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.