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Finding the Fourth Proportional to 50,344.81, 69,477.59 and 27,684.73

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Solution

The fourth proportional to 50,344.81, 69,477.59 and 27,684.73 is: 38,205.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,344.81 : 69,477.59 = 27,684.73 : x
  2. Step 2: Convert to fraction form
    50,344.81/69,477.59 = 27,684.73/x
  3. Step 3: Cross multiply
    50,344.81x = 69,477.59 × 27,684.73
  4. Step 4: Simplify right side
    50,344.81x = 1,923,468,181.78
  5. Step 5: Solve for x
    x = 1,923,468,181.78/50,344.81
  6. Step 6: Final answer
    x = 38,205.89

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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.