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Finding the Fourth Proportional to 65,249.20, 97,849.97 and 27,813.09

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Solution

The fourth proportional to 65,249.20, 97,849.97 and 27,813.09 is: 41,709.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,249.20 : 97,849.97 = 27,813.09 : x
  2. Step 2: Convert to fraction form
    65,249.20/97,849.97 = 27,813.09/x
  3. Step 3: Cross multiply
    65,249.20x = 97,849.97 × 27,813.09
  4. Step 4: Simplify right side
    65,249.20x = 2,721,510,022.11
  5. Step 5: Solve for x
    x = 2,721,510,022.11/65,249.20
  6. Step 6: Final answer
    x = 41,709.48

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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.