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Finding the Fourth Proportional to 31,296.67, 43,190.40 and 17,150.38

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Solution

The fourth proportional to 31,296.67, 43,190.40 and 17,150.38 is: 23,668.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,296.67 : 43,190.40 = 17,150.38 : x
  2. Step 2: Convert to fraction form
    31,296.67/43,190.40 = 17,150.38/x
  3. Step 3: Cross multiply
    31,296.67x = 43,190.40 × 17,150.38
  4. Step 4: Simplify right side
    31,296.67x = 740,731,772.35
  5. Step 5: Solve for x
    x = 740,731,772.35/31,296.67
  6. Step 6: Final answer
    x = 23,668.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.