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Finding the Fourth Proportional to 50,205.24, 69,283.30 and 27,849.24

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Solution

The fourth proportional to 50,205.24, 69,283.30 and 27,849.24 is: 38,431.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,205.24 : 69,283.30 = 27,849.24 : x
  2. Step 2: Convert to fraction form
    50,205.24/69,283.30 = 27,849.24/x
  3. Step 3: Cross multiply
    50,205.24x = 69,283.30 × 27,849.24
  4. Step 4: Simplify right side
    50,205.24x = 1,929,487,249.69
  5. Step 5: Solve for x
    x = 1,929,487,249.69/50,205.24
  6. Step 6: Final answer
    x = 38,431.99

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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.