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Finding the Fourth Proportional to 31,059.87, 42,851.68 and 20,311.03

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Solution

The fourth proportional to 31,059.87, 42,851.68 and 20,311.03 is: 28,022.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,059.87 : 42,851.68 = 20,311.03 : x
  2. Step 2: Convert to fraction form
    31,059.87/42,851.68 = 20,311.03/x
  3. Step 3: Cross multiply
    31,059.87x = 42,851.68 × 20,311.03
  4. Step 4: Simplify right side
    31,059.87x = 870,361,758.03
  5. Step 5: Solve for x
    x = 870,361,758.03/31,059.87
  6. Step 6: Final answer
    x = 28,022.07

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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.