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Finding the Fourth Proportional to 31,504.80, 47,257.20 and 20,351.10

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Solution

The fourth proportional to 31,504.80, 47,257.20 and 20,351.10 is: 30,526.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,504.80 : 47,257.20 = 20,351.10 : x
  2. Step 2: Convert to fraction form
    31,504.80/47,257.20 = 20,351.10/x
  3. Step 3: Cross multiply
    31,504.80x = 47,257.20 × 20,351.10
  4. Step 4: Simplify right side
    31,504.80x = 961,736,002.92
  5. Step 5: Solve for x
    x = 961,736,002.92/31,504.80
  6. Step 6: Final answer
    x = 30,526.65

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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.