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Finding the Fourth Proportional to 31,198.22, 46,819.20 and 18,032.48

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Solution

The fourth proportional to 31,198.22, 46,819.20 and 18,032.48 is: 27,061.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,198.22 : 46,819.20 = 18,032.48 : x
  2. Step 2: Convert to fraction form
    31,198.22/46,819.20 = 18,032.48/x
  3. Step 3: Cross multiply
    31,198.22x = 46,819.20 × 18,032.48
  4. Step 4: Simplify right side
    31,198.22x = 844,266,287.62
  5. Step 5: Solve for x
    x = 844,266,287.62/31,198.22
  6. Step 6: Final answer
    x = 27,061.36

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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.