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Finding the Fourth Proportional to 50,865.75, 70,194.74 and 30,993.75

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Solution

The fourth proportional to 50,865.75, 70,194.74 and 30,993.75 is: 42,771.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,865.75 : 70,194.74 = 30,993.75 : x
  2. Step 2: Convert to fraction form
    50,865.75/70,194.74 = 30,993.75/x
  3. Step 3: Cross multiply
    50,865.75x = 70,194.74 × 30,993.75
  4. Step 4: Simplify right side
    50,865.75x = 2,175,598,067.91
  5. Step 5: Solve for x
    x = 2,175,598,067.91/50,865.75
  6. Step 6: Final answer
    x = 42,771.38

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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.