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Finding the Fourth Proportional to 50,571.72, 69,766.38 and 30,416.76

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Solution

The fourth proportional to 50,571.72, 69,766.38 and 30,416.76 is: 41,961.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,571.72 : 69,766.38 = 30,416.76 : x
  2. Step 2: Convert to fraction form
    50,571.72/69,766.38 = 30,416.76/x
  3. Step 3: Cross multiply
    50,571.72x = 69,766.38 × 30,416.76
  4. Step 4: Simplify right side
    50,571.72x = 2,122,067,236.53
  5. Step 5: Solve for x
    x = 2,122,067,236.53/50,571.72
  6. Step 6: Final answer
    x = 41,961.54

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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.