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Finding the Fourth Proportional to 41,832.99, 57,709.26 and 27,697.68

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Solution

The fourth proportional to 41,832.99, 57,709.26 and 27,697.68 is: 38,209.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,832.99 : 57,709.26 = 27,697.68 : x
  2. Step 2: Convert to fraction form
    41,832.99/57,709.26 = 27,697.68/x
  3. Step 3: Cross multiply
    41,832.99x = 57,709.26 × 27,697.68
  4. Step 4: Simplify right side
    41,832.99x = 1,598,412,616.52
  5. Step 5: Solve for x
    x = 1,598,412,616.52/41,832.99
  6. Step 6: Final answer
    x = 38,209.38

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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.