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Finding the Fourth Proportional to 36,923.92, 50,984.04 and 29,731

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Solution

The fourth proportional to 36,923.92, 50,984.04 and 29,731 is: 41,052.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,923.92 : 50,984.04 = 29,731 : x
  2. Step 2: Convert to fraction form
    36,923.92/50,984.04 = 29,731/x
  3. Step 3: Cross multiply
    36,923.92x = 50,984.04 × 29,731
  4. Step 4: Simplify right side
    36,923.92x = 1,515,806,493.24
  5. Step 5: Solve for x
    x = 1,515,806,493.24/36,923.92
  6. Step 6: Final answer
    x = 41,052.16

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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.