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Finding the Fourth Proportional to 36,604.24, 50,513.72 and 19,837.28

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Solution

The fourth proportional to 36,604.24, 50,513.72 and 19,837.28 is: 27,375.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,604.24 : 50,513.72 = 19,837.28 : x
  2. Step 2: Convert to fraction form
    36,604.24/50,513.72 = 19,837.28/x
  3. Step 3: Cross multiply
    36,604.24x = 50,513.72 × 19,837.28
  4. Step 4: Simplify right side
    36,604.24x = 1,002,054,807.48
  5. Step 5: Solve for x
    x = 1,002,054,807.48/36,604.24
  6. Step 6: Final answer
    x = 27,375.38

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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.