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Finding the Fourth Proportional to 31,296.35, 43,188.72 and 17,149.16

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Solution

The fourth proportional to 31,296.35, 43,188.72 and 17,149.16 is: 23,665.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,296.35 : 43,188.72 = 17,149.16 : x
  2. Step 2: Convert to fraction form
    31,296.35/43,188.72 = 17,149.16/x
  3. Step 3: Cross multiply
    31,296.35x = 43,188.72 × 17,149.16
  4. Step 4: Simplify right side
    31,296.35x = 740,650,269.48
  5. Step 5: Solve for x
    x = 740,650,269.48/31,296.35
  6. Step 6: Final answer
    x = 23,665.71

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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.