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Finding the Fourth Proportional to 36,127.89, 49,857.39 and 20,212.20

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Solution

The fourth proportional to 36,127.89, 49,857.39 and 20,212.20 is: 27,893.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,127.89 : 49,857.39 = 20,212.20 : x
  2. Step 2: Convert to fraction form
    36,127.89/49,857.39 = 20,212.20/x
  3. Step 3: Cross multiply
    36,127.89x = 49,857.39 × 20,212.20
  4. Step 4: Simplify right side
    36,127.89x = 1,007,727,538.16
  5. Step 5: Solve for x
    x = 1,007,727,538.16/36,127.89
  6. Step 6: Final answer
    x = 27,893.34

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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.