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Finding the Fourth Proportional to 50,563.77, 69,777.53 and 27,902.97

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Solution

The fourth proportional to 50,563.77, 69,777.53 and 27,902.97 is: 38,505.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,563.77 : 69,777.53 = 27,902.97 : x
  2. Step 2: Convert to fraction form
    50,563.77/69,777.53 = 27,902.97/x
  3. Step 3: Cross multiply
    50,563.77x = 69,777.53 × 27,902.97
  4. Step 4: Simplify right side
    50,563.77x = 1,947,000,186.75
  5. Step 5: Solve for x
    x = 1,947,000,186.75/50,563.77
  6. Step 6: Final answer
    x = 38,505.84

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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.