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Finding the Fourth Proportional to 50,441.70, 75,660.93 and 20,850.78

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Solution

The fourth proportional to 50,441.70, 75,660.93 and 20,850.78 is: 31,275.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,441.70 : 75,660.93 = 20,850.78 : x
  2. Step 2: Convert to fraction form
    50,441.70/75,660.93 = 20,850.78/x
  3. Step 3: Cross multiply
    50,441.70x = 75,660.93 × 20,850.78
  4. Step 4: Simplify right side
    50,441.70x = 1,577,589,406.03
  5. Step 5: Solve for x
    x = 1,577,589,406.03/50,441.70
  6. Step 6: Final answer
    x = 31,275.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.