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Finding the Fourth Proportional to 27,850.92, 41,812 and 23,927.28

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Solution

The fourth proportional to 27,850.92, 41,812 and 23,927.28 is: 35,921.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,850.92 : 41,812 = 23,927.28 : x
  2. Step 2: Convert to fraction form
    27,850.92/41,812 = 23,927.28/x
  3. Step 3: Cross multiply
    27,850.92x = 41,812 × 23,927.28
  4. Step 4: Simplify right side
    27,850.92x = 1,000,447,431.36
  5. Step 5: Solve for x
    x = 1,000,447,431.36/27,850.92
  6. Step 6: Final answer
    x = 35,921.52

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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.