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Finding the Fourth Proportional to 36,838.62, 50,838.10 and 21,734.96

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Solution

The fourth proportional to 36,838.62, 50,838.10 and 21,734.96 is: 29,994.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,838.62 : 50,838.10 = 21,734.96 : x
  2. Step 2: Convert to fraction form
    36,838.62/50,838.10 = 21,734.96/x
  3. Step 3: Cross multiply
    36,838.62x = 50,838.10 × 21,734.96
  4. Step 4: Simplify right side
    36,838.62x = 1,104,963,761.45
  5. Step 5: Solve for x
    x = 1,104,963,761.45/36,838.62
  6. Step 6: Final answer
    x = 29,994.71

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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.