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Finding the Fourth Proportional to 31,027.46, 46,512.02 and 17,147.30

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Solution

The fourth proportional to 31,027.46, 46,512.02 and 17,147.30 is: 25,704.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,027.46 : 46,512.02 = 17,147.30 : x
  2. Step 2: Convert to fraction form
    31,027.46/46,512.02 = 17,147.30/x
  3. Step 3: Cross multiply
    31,027.46x = 46,512.02 × 17,147.30
  4. Step 4: Simplify right side
    31,027.46x = 797,555,370.85
  5. Step 5: Solve for x
    x = 797,555,370.85/31,027.46
  6. Step 6: Final answer
    x = 25,704.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.