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Finding the Fourth Proportional to 57,083.22, 78,755.67 and 33,190.38

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Solution

The fourth proportional to 57,083.22, 78,755.67 and 33,190.38 is: 45,791.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,083.22 : 78,755.67 = 33,190.38 : x
  2. Step 2: Convert to fraction form
    57,083.22/78,755.67 = 33,190.38/x
  3. Step 3: Cross multiply
    57,083.22x = 78,755.67 × 33,190.38
  4. Step 4: Simplify right side
    57,083.22x = 2,613,930,614.45
  5. Step 5: Solve for x
    x = 2,613,930,614.45/57,083.22
  6. Step 6: Final answer
    x = 45,791.58

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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.