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Finding the Fourth Proportional to 49,863, 68,812.23 and 27,202.38

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Solution

The fourth proportional to 49,863, 68,812.23 and 27,202.38 is: 37,539.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,863 : 68,812.23 = 27,202.38 : x
  2. Step 2: Convert to fraction form
    49,863/68,812.23 = 27,202.38/x
  3. Step 3: Cross multiply
    49,863x = 68,812.23 × 27,202.38
  4. Step 4: Simplify right side
    49,863x = 1,871,856,429.11
  5. Step 5: Solve for x
    x = 1,871,856,429.11/49,863
  6. Step 6: Final answer
    x = 37,539.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.