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Finding the Fourth Proportional to 20,850.27, 31,275.50 and 5,267.90

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Solution

The fourth proportional to 20,850.27, 31,275.50 and 5,267.90 is: 7,901.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,850.27 : 31,275.50 = 5,267.90 : x
  2. Step 2: Convert to fraction form
    20,850.27/31,275.50 = 5,267.90/x
  3. Step 3: Cross multiply
    20,850.27x = 31,275.50 × 5,267.90
  4. Step 4: Simplify right side
    20,850.27x = 164,756,023.73
  5. Step 5: Solve for x
    x = 164,756,023.73/20,850.27
  6. Step 6: Final answer
    x = 7,901.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.