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Finding the Fourth Proportional to 31,731.70, 43,790.04 and 17,584.84

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Solution

The fourth proportional to 31,731.70, 43,790.04 and 17,584.84 is: 24,267.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,731.70 : 43,790.04 = 17,584.84 : x
  2. Step 2: Convert to fraction form
    31,731.70/43,790.04 = 17,584.84/x
  3. Step 3: Cross multiply
    31,731.70x = 43,790.04 × 17,584.84
  4. Step 4: Simplify right side
    31,731.70x = 770,040,846.99
  5. Step 5: Solve for x
    x = 770,040,846.99/31,731.70
  6. Step 6: Final answer
    x = 24,267.24

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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.