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Finding the Fourth Proportional to 31,735, 43,794.30 and 17,589.97

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Solution

The fourth proportional to 31,735, 43,794.30 and 17,589.97 is: 24,274.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,735 : 43,794.30 = 17,589.97 : x
  2. Step 2: Convert to fraction form
    31,735/43,794.30 = 17,589.97/x
  3. Step 3: Cross multiply
    31,735x = 43,794.30 × 17,589.97
  4. Step 4: Simplify right side
    31,735x = 770,340,423.17
  5. Step 5: Solve for x
    x = 770,340,423.17/31,735
  6. Step 6: Final answer
    x = 24,274.16

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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.