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Finding the Fourth Proportional to 31,714.71, 43,745.20 and 20,398.52

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Solution

The fourth proportional to 31,714.71, 43,745.20 and 20,398.52 is: 28,136.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,714.71 : 43,745.20 = 20,398.52 : x
  2. Step 2: Convert to fraction form
    31,714.71/43,745.20 = 20,398.52/x
  3. Step 3: Cross multiply
    31,714.71x = 43,745.20 × 20,398.52
  4. Step 4: Simplify right side
    31,714.71x = 892,337,337.10
  5. Step 5: Solve for x
    x = 892,337,337.10/31,714.71
  6. Step 6: Final answer
    x = 28,136.39

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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.