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Finding the Fourth Proportional to 27,845.48, 41,758.50 and 11,201.20

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Solution

The fourth proportional to 27,845.48, 41,758.50 and 11,201.20 is: 16,797.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,845.48 : 41,758.50 = 11,201.20 : x
  2. Step 2: Convert to fraction form
    27,845.48/41,758.50 = 11,201.20/x
  3. Step 3: Cross multiply
    27,845.48x = 41,758.50 × 11,201.20
  4. Step 4: Simplify right side
    27,845.48x = 467,745,101.41
  5. Step 5: Solve for x
    x = 467,745,101.41/27,845.48
  6. Step 6: Final answer
    x = 16,797.88

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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.