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Finding the Fourth Proportional to 31,744, 43,806.76 and 17,598.96

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Solution

The fourth proportional to 31,744, 43,806.76 and 17,598.96 is: 24,286.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,744 : 43,806.76 = 17,598.96 : x
  2. Step 2: Convert to fraction form
    31,744/43,806.76 = 17,598.96/x
  3. Step 3: Cross multiply
    31,744x = 43,806.76 × 17,598.96
  4. Step 4: Simplify right side
    31,744x = 770,953,416.97
  5. Step 5: Solve for x
    x = 770,953,416.97/31,744
  6. Step 6: Final answer
    x = 24,286.59

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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.