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Finding the Fourth Proportional to 49,361.48, 68,119.38 and 27,005

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Solution

The fourth proportional to 49,361.48, 68,119.38 and 27,005 is: 37,267.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,361.48 : 68,119.38 = 27,005 : x
  2. Step 2: Convert to fraction form
    49,361.48/68,119.38 = 27,005/x
  3. Step 3: Cross multiply
    49,361.48x = 68,119.38 × 27,005
  4. Step 4: Simplify right side
    49,361.48x = 1,839,563,856.90
  5. Step 5: Solve for x
    x = 1,839,563,856.90/49,361.48
  6. Step 6: Final answer
    x = 37,267.19

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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.