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Finding the Fourth Proportional to 36,202.34, 49,957.82 and 20,286

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Solution

The fourth proportional to 36,202.34, 49,957.82 and 20,286 is: 27,993.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,202.34 : 49,957.82 = 20,286 : x
  2. Step 2: Convert to fraction form
    36,202.34/49,957.82 = 20,286/x
  3. Step 3: Cross multiply
    36,202.34x = 49,957.82 × 20,286
  4. Step 4: Simplify right side
    36,202.34x = 1,013,444,336.52
  5. Step 5: Solve for x
    x = 1,013,444,336.52/36,202.34
  6. Step 6: Final answer
    x = 27,993.89

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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.