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Finding the Fourth Proportional to 50,485.94, 69,667.74 and 27,824.86

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Solution

The fourth proportional to 50,485.94, 69,667.74 and 27,824.86 is: 38,396.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,485.94 : 69,667.74 = 27,824.86 : x
  2. Step 2: Convert to fraction form
    50,485.94/69,667.74 = 27,824.86/x
  3. Step 3: Cross multiply
    50,485.94x = 69,667.74 × 27,824.86
  4. Step 4: Simplify right side
    50,485.94x = 1,938,494,833.24
  5. Step 5: Solve for x
    x = 1,938,494,833.24/50,485.94
  6. Step 6: Final answer
    x = 38,396.73

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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.