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Finding the Fourth Proportional to 31,843.92, 43,946.10 and 17,697

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Solution

The fourth proportional to 31,843.92, 43,946.10 and 17,697 is: 24,422.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843.92 : 43,946.10 = 17,697 : x
  2. Step 2: Convert to fraction form
    31,843.92/43,946.10 = 17,697/x
  3. Step 3: Cross multiply
    31,843.92x = 43,946.10 × 17,697
  4. Step 4: Simplify right side
    31,843.92x = 777,714,131.70
  5. Step 5: Solve for x
    x = 777,714,131.70/31,843.92
  6. Step 6: Final answer
    x = 24,422.69

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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.