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Finding the Fourth Proportional to 31,696.10, 43,714.04 and 20,367.44

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Solution

The fourth proportional to 31,696.10, 43,714.04 and 20,367.44 is: 28,089.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,696.10 : 43,714.04 = 20,367.44 : x
  2. Step 2: Convert to fraction form
    31,696.10/43,714.04 = 20,367.44/x
  3. Step 3: Cross multiply
    31,696.10x = 43,714.04 × 20,367.44
  4. Step 4: Simplify right side
    31,696.10x = 890,343,086.86
  5. Step 5: Solve for x
    x = 890,343,086.86/31,696.10
  6. Step 6: Final answer
    x = 28,089.99

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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.