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Finding the Fourth Proportional to 100,493.94, 150,744.12 and 50,546.76

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Solution

The fourth proportional to 100,493.94, 150,744.12 and 50,546.76 is: 75,821.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,493.94 : 150,744.12 = 50,546.76 : x
  2. Step 2: Convert to fraction form
    100,493.94/150,744.12 = 50,546.76/x
  3. Step 3: Cross multiply
    100,493.94x = 150,744.12 × 50,546.76
  4. Step 4: Simplify right side
    100,493.94x = 7,619,626,855.05
  5. Step 5: Solve for x
    x = 7,619,626,855.05/100,493.94
  6. Step 6: Final answer
    x = 75,821.75

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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.