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Finding the Fourth Proportional to 51,689.98, 71,327.82 and 31,279.69

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Solution

The fourth proportional to 51,689.98, 71,327.82 and 31,279.69 is: 43,163.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,689.98 : 71,327.82 = 31,279.69 : x
  2. Step 2: Convert to fraction form
    51,689.98/71,327.82 = 31,279.69/x
  3. Step 3: Cross multiply
    51,689.98x = 71,327.82 × 31,279.69
  4. Step 4: Simplify right side
    51,689.98x = 2,231,112,097.98
  5. Step 5: Solve for x
    x = 2,231,112,097.98/51,689.98
  6. Step 6: Final answer
    x = 43,163.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.