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Finding the Fourth Proportional to 51,863.25, 71,553.56 and 31,451.55

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Solution

The fourth proportional to 51,863.25, 71,553.56 and 31,451.55 is: 43,392.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,863.25 : 71,553.56 = 31,451.55 : x
  2. Step 2: Convert to fraction form
    51,863.25/71,553.56 = 31,451.55/x
  3. Step 3: Cross multiply
    51,863.25x = 71,553.56 × 31,451.55
  4. Step 4: Simplify right side
    51,863.25x = 2,250,470,370.02
  5. Step 5: Solve for x
    x = 2,250,470,370.02/51,863.25
  6. Step 6: Final answer
    x = 43,392.39

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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.