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Finding the Fourth Proportional to 50,540.64, 69,745.22 and 27,881.80

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Solution

The fourth proportional to 50,540.64, 69,745.22 and 27,881.80 is: 38,476.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,540.64 : 69,745.22 = 27,881.80 : x
  2. Step 2: Convert to fraction form
    50,540.64/69,745.22 = 27,881.80/x
  3. Step 3: Cross multiply
    50,540.64x = 69,745.22 × 27,881.80
  4. Step 4: Simplify right side
    50,540.64x = 1,944,622,327.33
  5. Step 5: Solve for x
    x = 1,944,622,327.33/50,540.64
  6. Step 6: Final answer
    x = 38,476.41

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1.5x scale

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.