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Finding the Fourth Proportional to 31,679.75, 43,717.38 and 17,339.58

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Solution

The fourth proportional to 31,679.75, 43,717.38 and 17,339.58 is: 23,928.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,679.75 : 43,717.38 = 17,339.58 : x
  2. Step 2: Convert to fraction form
    31,679.75/43,717.38 = 17,339.58/x
  3. Step 3: Cross multiply
    31,679.75x = 43,717.38 × 17,339.58
  4. Step 4: Simplify right side
    31,679.75x = 758,041,007.90
  5. Step 5: Solve for x
    x = 758,041,007.90/31,679.75
  6. Step 6: Final answer
    x = 23,928.25

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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.