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Finding the Fourth Proportional to 89,796.84, 123,911.18 and 52,067

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Solution

The fourth proportional to 89,796.84, 123,911.18 and 52,067 is: 71,847.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,796.84 : 123,911.18 = 52,067 : x
  2. Step 2: Convert to fraction form
    89,796.84/123,911.18 = 52,067/x
  3. Step 3: Cross multiply
    89,796.84x = 123,911.18 × 52,067
  4. Step 4: Simplify right side
    89,796.84x = 6,451,683,409.06
  5. Step 5: Solve for x
    x = 6,451,683,409.06/89,796.84
  6. Step 6: Final answer
    x = 71,847.56

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