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Finding the Fourth Proportional to 50,509.27, 69,699.64 and 27,847.09

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Solution

The fourth proportional to 50,509.27, 69,699.64 and 27,847.09 is: 38,427.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,509.27 : 69,699.64 = 27,847.09 : x
  2. Step 2: Convert to fraction form
    50,509.27/69,699.64 = 27,847.09/x
  3. Step 3: Cross multiply
    50,509.27x = 69,699.64 × 27,847.09
  4. Step 4: Simplify right side
    50,509.27x = 1,940,932,148.05
  5. Step 5: Solve for x
    x = 1,940,932,148.05/50,509.27
  6. Step 6: Final answer
    x = 38,427.25

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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.