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Finding the Fourth Proportional to 31,743, 43,805.38 and 17,597.96

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Solution

The fourth proportional to 31,743, 43,805.38 and 17,597.96 is: 24,285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,743 : 43,805.38 = 17,597.96 : x
  2. Step 2: Convert to fraction form
    31,743/43,805.38 = 17,597.96/x
  3. Step 3: Cross multiply
    31,743x = 43,805.38 × 17,597.96
  4. Step 4: Simplify right side
    31,743x = 770,885,325.02
  5. Step 5: Solve for x
    x = 770,885,325.02/31,743
  6. Step 6: Final answer
    x = 24,285.21

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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.