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Finding the Fourth Proportional to 31,738.36, 43,797.36 and 17,591.08

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Solution

The fourth proportional to 31,738.36, 43,797.36 and 17,591.08 is: 24,274.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,738.36 : 43,797.36 = 17,591.08 : x
  2. Step 2: Convert to fraction form
    31,738.36/43,797.36 = 17,591.08/x
  3. Step 3: Cross multiply
    31,738.36x = 43,797.36 × 17,591.08
  4. Step 4: Simplify right side
    31,738.36x = 770,442,863.55
  5. Step 5: Solve for x
    x = 770,442,863.55/31,738.36
  6. Step 6: Final answer
    x = 24,274.82

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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.