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Finding the Fourth Proportional to 50,469.24, 69,646.84 and 27,807.76

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Solution

The fourth proportional to 50,469.24, 69,646.84 and 27,807.76 is: 38,374.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,469.24 : 69,646.84 = 27,807.76 : x
  2. Step 2: Convert to fraction form
    50,469.24/69,646.84 = 27,807.76/x
  3. Step 3: Cross multiply
    50,469.24x = 69,646.84 × 27,807.76
  4. Step 4: Simplify right side
    50,469.24x = 1,936,722,611.48
  5. Step 5: Solve for x
    x = 1,936,722,611.48/50,469.24
  6. Step 6: Final answer
    x = 38,374.32

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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.