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Finding the Fourth Proportional to 31,819.10, 43,907.78 and 18,391.22

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Solution

The fourth proportional to 31,819.10, 43,907.78 and 18,391.22 is: 25,378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,819.10 : 43,907.78 = 18,391.22 : x
  2. Step 2: Convert to fraction form
    31,819.10/43,907.78 = 18,391.22/x
  3. Step 3: Cross multiply
    31,819.10x = 43,907.78 × 18,391.22
  4. Step 4: Simplify right side
    31,819.10x = 807,517,330.20
  5. Step 5: Solve for x
    x = 807,517,330.20/31,819.10
  6. Step 6: Final answer
    x = 25,378.39

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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.