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Finding the Fourth Proportional to 41,896.85, 57,828.53 and 27,744.53

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Solution

The fourth proportional to 41,896.85, 57,828.53 and 27,744.53 is: 38,294.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,896.85 : 57,828.53 = 27,744.53 : x
  2. Step 2: Convert to fraction form
    41,896.85/57,828.53 = 27,744.53/x
  3. Step 3: Cross multiply
    41,896.85x = 57,828.53 × 27,744.53
  4. Step 4: Simplify right side
    41,896.85x = 1,604,425,165.66
  5. Step 5: Solve for x
    x = 1,604,425,165.66/41,896.85
  6. Step 6: Final answer
    x = 38,294.65

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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.