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Finding the Fourth Proportional to 33,791.71, 50,684.32 and 10,411.87

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Solution

The fourth proportional to 33,791.71, 50,684.32 and 10,411.87 is: 15,616.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,791.71 : 50,684.32 = 10,411.87 : x
  2. Step 2: Convert to fraction form
    33,791.71/50,684.32 = 10,411.87/x
  3. Step 3: Cross multiply
    33,791.71x = 50,684.32 × 10,411.87
  4. Step 4: Simplify right side
    33,791.71x = 527,718,550.88
  5. Step 5: Solve for x
    x = 527,718,550.88/33,791.71
  6. Step 6: Final answer
    x = 15,616.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.