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Finding the Fourth Proportional to 50,567.42, 69,781.74 and 27,906.12

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Solution

The fourth proportional to 50,567.42, 69,781.74 and 27,906.12 is: 38,509.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,567.42 : 69,781.74 = 27,906.12 : x
  2. Step 2: Convert to fraction form
    50,567.42/69,781.74 = 27,906.12/x
  3. Step 3: Cross multiply
    50,567.42x = 69,781.74 × 27,906.12
  4. Step 4: Simplify right side
    50,567.42x = 1,947,337,610.25
  5. Step 5: Solve for x
    x = 1,947,337,610.25/50,567.42
  6. Step 6: Final answer
    x = 38,509.73

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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.