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Finding the Fourth Proportional to 36,219.50, 49,983.10 and 21,122.64

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Solution

The fourth proportional to 36,219.50, 49,983.10 and 21,122.64 is: 29,149.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,219.50 : 49,983.10 = 21,122.64 : x
  2. Step 2: Convert to fraction form
    36,219.50/49,983.10 = 21,122.64/x
  3. Step 3: Cross multiply
    36,219.50x = 49,983.10 × 21,122.64
  4. Step 4: Simplify right side
    36,219.50x = 1,055,775,027.38
  5. Step 5: Solve for x
    x = 1,055,775,027.38/36,219.50
  6. Step 6: Final answer
    x = 29,149.35

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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.