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Finding the Fourth Proportional to 31,792.80, 43,874.60 and 17,645.72

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Solution

The fourth proportional to 31,792.80, 43,874.60 and 17,645.72 is: 24,351.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,792.80 : 43,874.60 = 17,645.72 : x
  2. Step 2: Convert to fraction form
    31,792.80/43,874.60 = 17,645.72/x
  3. Step 3: Cross multiply
    31,792.80x = 43,874.60 × 17,645.72
  4. Step 4: Simplify right side
    31,792.80x = 774,198,906.71
  5. Step 5: Solve for x
    x = 774,198,906.71/31,792.80
  6. Step 6: Final answer
    x = 24,351.39

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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.