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Finding the Fourth Proportional to 31,170.39, 46,761.68 and 11,449.09

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Solution

The fourth proportional to 31,170.39, 46,761.68 and 11,449.09 is: 17,175.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,170.39 : 46,761.68 = 11,449.09 : x
  2. Step 2: Convert to fraction form
    31,170.39/46,761.68 = 11,449.09/x
  3. Step 3: Cross multiply
    31,170.39x = 46,761.68 × 11,449.09
  4. Step 4: Simplify right side
    31,170.39x = 535,378,682.87
  5. Step 5: Solve for x
    x = 535,378,682.87/31,170.39
  6. Step 6: Final answer
    x = 17,175.87

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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.