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Finding the Fourth Proportional to 41,783.90, 57,640.30 and 27,441.66

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Solution

The fourth proportional to 41,783.90, 57,640.30 and 27,441.66 is: 37,855.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,783.90 : 57,640.30 = 27,441.66 : x
  2. Step 2: Convert to fraction form
    41,783.90/57,640.30 = 27,441.66/x
  3. Step 3: Cross multiply
    41,783.90x = 57,640.30 × 27,441.66
  4. Step 4: Simplify right side
    41,783.90x = 1,581,745,514.90
  5. Step 5: Solve for x
    x = 1,581,745,514.90/41,783.90
  6. Step 6: Final answer
    x = 37,855.38

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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.