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Finding the Fourth Proportional to 109,793.62, 164,687.68 and 50,629.24

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Solution

The fourth proportional to 109,793.62, 164,687.68 and 50,629.24 is: 75,942.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,793.62 : 164,687.68 = 50,629.24 : x
  2. Step 2: Convert to fraction form
    109,793.62/164,687.68 = 50,629.24/x
  3. Step 3: Cross multiply
    109,793.62x = 164,687.68 × 50,629.24
  4. Step 4: Simplify right side
    109,793.62x = 8,338,012,075.76
  5. Step 5: Solve for x
    x = 8,338,012,075.76/109,793.62
  6. Step 6: Final answer
    x = 75,942.59

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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.