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Finding the Fourth Proportional to 36,002, 49,682.76 and 21,098

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Solution

The fourth proportional to 36,002, 49,682.76 and 21,098 is: 29,115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,002 : 49,682.76 = 21,098 : x
  2. Step 2: Convert to fraction form
    36,002/49,682.76 = 21,098/x
  3. Step 3: Cross multiply
    36,002x = 49,682.76 × 21,098
  4. Step 4: Simplify right side
    36,002x = 1,048,206,870.48
  5. Step 5: Solve for x
    x = 1,048,206,870.48/36,002
  6. Step 6: Final answer
    x = 29,115.24

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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.