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Finding the Fourth Proportional to 27,850.94, 41,727.78 and 23,200.82

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Solution

The fourth proportional to 27,850.94, 41,727.78 and 23,200.82 is: 34,760.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,850.94 : 41,727.78 = 23,200.82 : x
  2. Step 2: Convert to fraction form
    27,850.94/41,727.78 = 23,200.82/x
  3. Step 3: Cross multiply
    27,850.94x = 41,727.78 × 23,200.82
  4. Step 4: Simplify right side
    27,850.94x = 968,118,504.14
  5. Step 5: Solve for x
    x = 968,118,504.14/27,850.94
  6. Step 6: Final answer
    x = 34,760.72

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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.