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Finding the Fourth Proportional to 36,941.67, 50,853.83 and 27,974.97

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Solution

The fourth proportional to 36,941.67, 50,853.83 and 27,974.97 is: 38,510.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,941.67 : 50,853.83 = 27,974.97 : x
  2. Step 2: Convert to fraction form
    36,941.67/50,853.83 = 27,974.97/x
  3. Step 3: Cross multiply
    36,941.67x = 50,853.83 × 27,974.97
  4. Step 4: Simplify right side
    36,941.67x = 1,422,634,228.76
  5. Step 5: Solve for x
    x = 1,422,634,228.76/36,941.67
  6. Step 6: Final answer
    x = 38,510.28

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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.