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Finding the Fourth Proportional to 31,819.75, 43,911.27 and 17,672.71

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Solution

The fourth proportional to 31,819.75, 43,911.27 and 17,672.71 is: 24,388.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,819.75 : 43,911.27 = 17,672.71 : x
  2. Step 2: Convert to fraction form
    31,819.75/43,911.27 = 17,672.71/x
  3. Step 3: Cross multiply
    31,819.75x = 43,911.27 × 17,672.71
  4. Step 4: Simplify right side
    31,819.75x = 776,031,140.44
  5. Step 5: Solve for x
    x = 776,031,140.44/31,819.75
  6. Step 6: Final answer
    x = 24,388.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.