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Finding the Fourth Proportional to 36,161.44, 49,891.34 and 20,243.72

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Solution

The fourth proportional to 36,161.44, 49,891.34 and 20,243.72 is: 27,929.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,161.44 : 49,891.34 = 20,243.72 : x
  2. Step 2: Convert to fraction form
    36,161.44/49,891.34 = 20,243.72/x
  3. Step 3: Cross multiply
    36,161.44x = 49,891.34 × 20,243.72
  4. Step 4: Simplify right side
    36,161.44x = 1,009,986,317.38
  5. Step 5: Solve for x
    x = 1,009,986,317.38/36,161.44
  6. Step 6: Final answer
    x = 27,929.93

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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.