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Finding the Fourth Proportional to 31,786.57, 43,866.38 and 17,640.33

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Solution

The fourth proportional to 31,786.57, 43,866.38 and 17,640.33 is: 24,344.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,786.57 : 43,866.38 = 17,640.33 : x
  2. Step 2: Convert to fraction form
    31,786.57/43,866.38 = 17,640.33/x
  3. Step 3: Cross multiply
    31,786.57x = 43,866.38 × 17,640.33
  4. Step 4: Simplify right side
    31,786.57x = 773,817,419.11
  5. Step 5: Solve for x
    x = 773,817,419.11/31,786.57
  6. Step 6: Final answer
    x = 24,344.16

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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.