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Finding the Fourth Proportional to 110,991, 166,474.26 and 27,885

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Solution

The fourth proportional to 110,991, 166,474.26 and 27,885 is: 41,824.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,991 : 166,474.26 = 27,885 : x
  2. Step 2: Convert to fraction form
    110,991/166,474.26 = 27,885/x
  3. Step 3: Cross multiply
    110,991x = 166,474.26 × 27,885
  4. Step 4: Simplify right side
    110,991x = 4,642,134,740.10
  5. Step 5: Solve for x
    x = 4,642,134,740.10/110,991
  6. Step 6: Final answer
    x = 41,824.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.