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Finding the Fourth Proportional to 36,888.41, 50,906 and 20,121.41

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Solution

The fourth proportional to 36,888.41, 50,906 and 20,121.41 is: 27,767.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,888.41 : 50,906 = 20,121.41 : x
  2. Step 2: Convert to fraction form
    36,888.41/50,906 = 20,121.41/x
  3. Step 3: Cross multiply
    36,888.41x = 50,906 × 20,121.41
  4. Step 4: Simplify right side
    36,888.41x = 1,024,300,242.93
  5. Step 5: Solve for x
    x = 1,024,300,242.93/36,888.41
  6. Step 6: Final answer
    x = 27,767.54

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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.