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Finding the Fourth Proportional to 36,943.88, 50,951.04 and 31,229.02

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Solution

The fourth proportional to 36,943.88, 50,951.04 and 31,229.02 is: 43,069.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,943.88 : 50,951.04 = 31,229.02 : x
  2. Step 2: Convert to fraction form
    36,943.88/50,951.04 = 31,229.02/x
  3. Step 3: Cross multiply
    36,943.88x = 50,951.04 × 31,229.02
  4. Step 4: Simplify right side
    36,943.88x = 1,591,151,047.18
  5. Step 5: Solve for x
    x = 1,591,151,047.18/36,943.88
  6. Step 6: Final answer
    x = 43,069.41

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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.