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Finding the Fourth Proportional to 36,791.92, 50,773.94 and 26,056

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Solution

The fourth proportional to 36,791.92, 50,773.94 and 26,056 is: 35,958.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,791.92 : 50,773.94 = 26,056 : x
  2. Step 2: Convert to fraction form
    36,791.92/50,773.94 = 26,056/x
  3. Step 3: Cross multiply
    36,791.92x = 50,773.94 × 26,056
  4. Step 4: Simplify right side
    36,791.92x = 1,322,965,650.36
  5. Step 5: Solve for x
    x = 1,322,965,650.36/36,791.92
  6. Step 6: Final answer
    x = 35,958.05

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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.