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Finding the Fourth Proportional to 27,845.28, 41,767.98 and 6,785.32

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Solution

The fourth proportional to 27,845.28, 41,767.98 and 6,785.32 is: 10,177.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,845.28 : 41,767.98 = 6,785.32 : x
  2. Step 2: Convert to fraction form
    27,845.28/41,767.98 = 6,785.32/x
  3. Step 3: Cross multiply
    27,845.28x = 41,767.98 × 6,785.32
  4. Step 4: Simplify right side
    27,845.28x = 283,409,110.05
  5. Step 5: Solve for x
    x = 283,409,110.05/27,845.28
  6. Step 6: Final answer
    x = 10,177.99

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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.