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Finding the Fourth Proportional to 50,278.24, 69,383.76 and 27,922.24

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Solution

The fourth proportional to 50,278.24, 69,383.76 and 27,922.24 is: 38,532.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,278.24 : 69,383.76 = 27,922.24 : x
  2. Step 2: Convert to fraction form
    50,278.24/69,383.76 = 27,922.24/x
  3. Step 3: Cross multiply
    50,278.24x = 69,383.76 × 27,922.24
  4. Step 4: Simplify right side
    50,278.24x = 1,937,349,998.82
  5. Step 5: Solve for x
    x = 1,937,349,998.82/50,278.24
  6. Step 6: Final answer
    x = 38,532.57

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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.