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Finding the Fourth Proportional to 31,714.50, 43,766.01 and 17,568.26

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Solution

The fourth proportional to 31,714.50, 43,766.01 and 17,568.26 is: 24,244.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,714.50 : 43,766.01 = 17,568.26 : x
  2. Step 2: Convert to fraction form
    31,714.50/43,766.01 = 17,568.26/x
  3. Step 3: Cross multiply
    31,714.50x = 43,766.01 × 17,568.26
  4. Step 4: Simplify right side
    31,714.50x = 768,892,642.84
  5. Step 5: Solve for x
    x = 768,892,642.84/31,714.50
  6. Step 6: Final answer
    x = 24,244.20

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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.