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Finding the Fourth Proportional to 50,509.85, 69,700.37 and 27,847.60

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Solution

The fourth proportional to 50,509.85, 69,700.37 and 27,847.60 is: 38,427.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,509.85 : 69,700.37 = 27,847.60 : x
  2. Step 2: Convert to fraction form
    50,509.85/69,700.37 = 27,847.60/x
  3. Step 3: Cross multiply
    50,509.85x = 69,700.37 × 27,847.60
  4. Step 4: Simplify right side
    50,509.85x = 1,940,987,710.12
  5. Step 5: Solve for x
    x = 1,940,987,710.12/50,509.85
  6. Step 6: Final answer
    x = 38,427.91

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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.