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Finding the Fourth Proportional to 75,214.62, 112,786.56 and 27,797.04

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Solution

The fourth proportional to 75,214.62, 112,786.56 and 27,797.04 is: 41,682.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,214.62 : 112,786.56 = 27,797.04 : x
  2. Step 2: Convert to fraction form
    75,214.62/112,786.56 = 27,797.04/x
  3. Step 3: Cross multiply
    75,214.62x = 112,786.56 × 27,797.04
  4. Step 4: Simplify right side
    75,214.62x = 3,135,132,519.78
  5. Step 5: Solve for x
    x = 3,135,132,519.78/75,214.62
  6. Step 6: Final answer
    x = 41,682.49

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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.