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Finding the Fourth Proportional to 69,205.94, 103,771.99 and 35,843.25

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Solution

The fourth proportional to 69,205.94, 103,771.99 and 35,843.25 is: 53,745.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,205.94 : 103,771.99 = 35,843.25 : x
  2. Step 2: Convert to fraction form
    69,205.94/103,771.99 = 35,843.25/x
  3. Step 3: Cross multiply
    69,205.94x = 103,771.99 × 35,843.25
  4. Step 4: Simplify right side
    69,205.94x = 3,719,525,380.57
  5. Step 5: Solve for x
    x = 3,719,525,380.57/69,205.94
  6. Step 6: Final answer
    x = 53,745.75

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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.