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Finding the Fourth Proportional to 36,945.57, 50,918.97 and 27,971.58

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Solution

The fourth proportional to 36,945.57, 50,918.97 and 27,971.58 is: 38,550.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,945.57 : 50,918.97 = 27,971.58 : x
  2. Step 2: Convert to fraction form
    36,945.57/50,918.97 = 27,971.58/x
  3. Step 3: Cross multiply
    36,945.57x = 50,918.97 × 27,971.58
  4. Step 4: Simplify right side
    36,945.57x = 1,424,284,042.87
  5. Step 5: Solve for x
    x = 1,424,284,042.87/36,945.57
  6. Step 6: Final answer
    x = 38,550.87

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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.