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Finding the Fourth Proportional to 31,775.67, 43,814.30 and 20,275.11

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Solution

The fourth proportional to 31,775.67, 43,814.30 and 20,275.11 is: 27,956.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,775.67 : 43,814.30 = 20,275.11 : x
  2. Step 2: Convert to fraction form
    31,775.67/43,814.30 = 20,275.11/x
  3. Step 3: Cross multiply
    31,775.67x = 43,814.30 × 20,275.11
  4. Step 4: Simplify right side
    31,775.67x = 888,339,650.70
  5. Step 5: Solve for x
    x = 888,339,650.70/31,775.67
  6. Step 6: Final answer
    x = 27,956.60

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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.