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Finding the Fourth Proportional to 50,092, 69,127.44 and 27,736.48

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Solution

The fourth proportional to 50,092, 69,127.44 and 27,736.48 is: 38,276.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,092 : 69,127.44 = 27,736.48 : x
  2. Step 2: Convert to fraction form
    50,092/69,127.44 = 27,736.48/x
  3. Step 3: Cross multiply
    50,092x = 69,127.44 × 27,736.48
  4. Step 4: Simplify right side
    50,092x = 1,917,351,857.01
  5. Step 5: Solve for x
    x = 1,917,351,857.01/50,092
  6. Step 6: Final answer
    x = 38,276.61

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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.