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Finding the Fourth Proportional to 27,850.64, 41,785.32 and 10,321.88

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Solution

The fourth proportional to 27,850.64, 41,785.32 and 10,321.88 is: 15,486.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,850.64 : 41,785.32 = 10,321.88 : x
  2. Step 2: Convert to fraction form
    27,850.64/41,785.32 = 10,321.88/x
  3. Step 3: Cross multiply
    27,850.64x = 41,785.32 × 10,321.88
  4. Step 4: Simplify right side
    27,850.64x = 431,303,058.80
  5. Step 5: Solve for x
    x = 431,303,058.80/27,850.64
  6. Step 6: Final answer
    x = 15,486.29

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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.