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Finding the Fourth Proportional to 27,883.20, 41,824.80 and 24,427.20

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Solution

The fourth proportional to 27,883.20, 41,824.80 and 24,427.20 is: 36,640.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,883.20 : 41,824.80 = 24,427.20 : x
  2. Step 2: Convert to fraction form
    27,883.20/41,824.80 = 24,427.20/x
  3. Step 3: Cross multiply
    27,883.20x = 41,824.80 × 24,427.20
  4. Step 4: Simplify right side
    27,883.20x = 1,021,662,754.56
  5. Step 5: Solve for x
    x = 1,021,662,754.56/27,883.20
  6. Step 6: Final answer
    x = 36,640.80

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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.