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Finding the Fourth Proportional to 73,982.88, 102,071.87 and 41,713.46

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Solution

The fourth proportional to 73,982.88, 102,071.87 and 41,713.46 is: 57,550.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,982.88 : 102,071.87 = 41,713.46 : x
  2. Step 2: Convert to fraction form
    73,982.88/102,071.87 = 41,713.46/x
  3. Step 3: Cross multiply
    73,982.88x = 102,071.87 × 41,713.46
  4. Step 4: Simplify right side
    73,982.88x = 4,257,770,147.44
  5. Step 5: Solve for x
    x = 4,257,770,147.44/73,982.88
  6. Step 6: Final answer
    x = 57,550.75

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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.