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Finding the Fourth Proportional to 27,541.20, 41,311.80 and 19,822.80

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Solution

The fourth proportional to 27,541.20, 41,311.80 and 19,822.80 is: 29,734.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,541.20 : 41,311.80 = 19,822.80 : x
  2. Step 2: Convert to fraction form
    27,541.20/41,311.80 = 19,822.80/x
  3. Step 3: Cross multiply
    27,541.20x = 41,311.80 × 19,822.80
  4. Step 4: Simplify right side
    27,541.20x = 818,915,549.04
  5. Step 5: Solve for x
    x = 818,915,549.04/27,541.20
  6. Step 6: Final answer
    x = 29,734.20

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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.