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Finding the Fourth Proportional to 31,296.26, 43,189.04 and 17,149.61

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Solution

The fourth proportional to 31,296.26, 43,189.04 and 17,149.61 is: 23,666.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,296.26 : 43,189.04 = 17,149.61 : x
  2. Step 2: Convert to fraction form
    31,296.26/43,189.04 = 17,149.61/x
  3. Step 3: Cross multiply
    31,296.26x = 43,189.04 × 17,149.61
  4. Step 4: Simplify right side
    31,296.26x = 740,675,019.20
  5. Step 5: Solve for x
    x = 740,675,019.20/31,296.26
  6. Step 6: Final answer
    x = 23,666.57

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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.