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Finding the Fourth Proportional to 31,757.50, 43,837.65 and 23,822.80

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Solution

The fourth proportional to 31,757.50, 43,837.65 and 23,822.80 is: 32,884.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,757.50 : 43,837.65 = 23,822.80 : x
  2. Step 2: Convert to fraction form
    31,757.50/43,837.65 = 23,822.80/x
  3. Step 3: Cross multiply
    31,757.50x = 43,837.65 × 23,822.80
  4. Step 4: Simplify right side
    31,757.50x = 1,044,335,568.42
  5. Step 5: Solve for x
    x = 1,044,335,568.42/31,757.50
  6. Step 6: Final answer
    x = 32,884.69

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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.