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Finding the Fourth Proportional to 31,743.38, 43,807.38 and 17,596.22

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Solution

The fourth proportional to 31,743.38, 43,807.38 and 17,596.22 is: 24,283.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,743.38 : 43,807.38 = 17,596.22 : x
  2. Step 2: Convert to fraction form
    31,743.38/43,807.38 = 17,596.22/x
  3. Step 3: Cross multiply
    31,743.38x = 43,807.38 × 17,596.22
  4. Step 4: Simplify right side
    31,743.38x = 770,844,077.07
  5. Step 5: Solve for x
    x = 770,844,077.07/31,743.38
  6. Step 6: Final answer
    x = 24,283.62

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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.