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Finding the Fourth Proportional to 31,488, 43,452.42 and 17,340.48

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Solution

The fourth proportional to 31,488, 43,452.42 and 17,340.48 is: 23,929.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,488 : 43,452.42 = 17,340.48 : x
  2. Step 2: Convert to fraction form
    31,488/43,452.42 = 17,340.48/x
  3. Step 3: Cross multiply
    31,488x = 43,452.42 × 17,340.48
  4. Step 4: Simplify right side
    31,488x = 753,485,819.96
  5. Step 5: Solve for x
    x = 753,485,819.96/31,488
  6. Step 6: Final answer
    x = 23,929.30

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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.