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Finding the Fourth Proportional to 31,184.74, 43,034.97 and 17,037.82

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Solution

The fourth proportional to 31,184.74, 43,034.97 and 17,037.82 is: 23,512.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,184.74 : 43,034.97 = 17,037.82 : x
  2. Step 2: Convert to fraction form
    31,184.74/43,034.97 = 17,037.82/x
  3. Step 3: Cross multiply
    31,184.74x = 43,034.97 × 17,037.82
  4. Step 4: Simplify right side
    31,184.74x = 733,222,072.57
  5. Step 5: Solve for x
    x = 733,222,072.57/31,184.74
  6. Step 6: Final answer
    x = 23,512.21

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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.