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Finding the Fourth Proportional to 51,595.75, 71,180.22 and 31,449.82

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Solution

The fourth proportional to 51,595.75, 71,180.22 and 31,449.82 is: 43,387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,595.75 : 71,180.22 = 31,449.82 : x
  2. Step 2: Convert to fraction form
    51,595.75/71,180.22 = 31,449.82/x
  3. Step 3: Cross multiply
    51,595.75x = 71,180.22 × 31,449.82
  4. Step 4: Simplify right side
    51,595.75x = 2,238,605,106.56
  5. Step 5: Solve for x
    x = 2,238,605,106.56/51,595.75
  6. Step 6: Final answer
    x = 43,387.39

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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.