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Finding the Fourth Proportional to 27,922.60, 41,880.30 and 8,200.48

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Solution

The fourth proportional to 27,922.60, 41,880.30 and 8,200.48 is: 12,299.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,922.60 : 41,880.30 = 8,200.48 : x
  2. Step 2: Convert to fraction form
    27,922.60/41,880.30 = 8,200.48/x
  3. Step 3: Cross multiply
    27,922.60x = 41,880.30 × 8,200.48
  4. Step 4: Simplify right side
    27,922.60x = 343,438,562.54
  5. Step 5: Solve for x
    x = 343,438,562.54/27,922.60
  6. Step 6: Final answer
    x = 12,299.66

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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.