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Finding the Fourth Proportional to 36,409.41, 50,291.37 and 27,859.41

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Solution

The fourth proportional to 36,409.41, 50,291.37 and 27,859.41 is: 38,481.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,409.41 : 50,291.37 = 27,859.41 : x
  2. Step 2: Convert to fraction form
    36,409.41/50,291.37 = 27,859.41/x
  3. Step 3: Cross multiply
    36,409.41x = 50,291.37 × 27,859.41
  4. Step 4: Simplify right side
    36,409.41x = 1,401,087,896.29
  5. Step 5: Solve for x
    x = 1,401,087,896.29/36,409.41
  6. Step 6: Final answer
    x = 38,481.48

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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.