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Finding the Fourth Proportional to 31,728.45, 43,696.49 and 31,039.68

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Solution

The fourth proportional to 31,728.45, 43,696.49 and 31,039.68 is: 42,747.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,728.45 : 43,696.49 = 31,039.68 : x
  2. Step 2: Convert to fraction form
    31,728.45/43,696.49 = 31,039.68/x
  3. Step 3: Cross multiply
    31,728.45x = 43,696.49 × 31,039.68
  4. Step 4: Simplify right side
    31,728.45x = 1,356,324,911.52
  5. Step 5: Solve for x
    x = 1,356,324,911.52/31,728.45
  6. Step 6: Final answer
    x = 42,747.91

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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.