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Finding the Fourth Proportional to 51,889.17, 71,593.85 and 31,738.70

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Solution

The fourth proportional to 51,889.17, 71,593.85 and 31,738.70 is: 43,791.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,889.17 : 71,593.85 = 31,738.70 : x
  2. Step 2: Convert to fraction form
    51,889.17/71,593.85 = 31,738.70/x
  3. Step 3: Cross multiply
    51,889.17x = 71,593.85 × 31,738.70
  4. Step 4: Simplify right side
    51,889.17x = 2,272,295,727.00
  5. Step 5: Solve for x
    x = 2,272,295,727.00/51,889.17
  6. Step 6: Final answer
    x = 43,791.33

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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.