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Finding the Fourth Proportional to 27,211.20, 40,816.80 and 20,212.80

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Solution

The fourth proportional to 27,211.20, 40,816.80 and 20,212.80 is: 30,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,211.20 : 40,816.80 = 20,212.80 : x
  2. Step 2: Convert to fraction form
    27,211.20/40,816.80 = 20,212.80/x
  3. Step 3: Cross multiply
    27,211.20x = 40,816.80 × 20,212.80
  4. Step 4: Simplify right side
    27,211.20x = 825,021,815.04
  5. Step 5: Solve for x
    x = 825,021,815.04/27,211.20
  6. Step 6: Final answer
    x = 30,319.20

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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.