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Finding the Fourth Proportional to 36,200.38, 49,957.92 and 21,102.78

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Solution

The fourth proportional to 36,200.38, 49,957.92 and 21,102.78 is: 29,122.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,200.38 : 49,957.92 = 21,102.78 : x
  2. Step 2: Convert to fraction form
    36,200.38/49,957.92 = 21,102.78/x
  3. Step 3: Cross multiply
    36,200.38x = 49,957.92 × 21,102.78
  4. Step 4: Simplify right side
    36,200.38x = 1,054,250,995.02
  5. Step 5: Solve for x
    x = 1,054,250,995.02/36,200.38
  6. Step 6: Final answer
    x = 29,122.65

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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.