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Finding the Fourth Proportional to 80,438.94, 110,933.01 and 50,227.02

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Solution

The fourth proportional to 80,438.94, 110,933.01 and 50,227.02 is: 69,267.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,438.94 : 110,933.01 = 50,227.02 : x
  2. Step 2: Convert to fraction form
    80,438.94/110,933.01 = 50,227.02/x
  3. Step 3: Cross multiply
    80,438.94x = 110,933.01 × 50,227.02
  4. Step 4: Simplify right side
    80,438.94x = 5,571,834,511.93
  5. Step 5: Solve for x
    x = 5,571,834,511.93/80,438.94
  6. Step 6: Final answer
    x = 69,267.88

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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.