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Finding the Fourth Proportional to 36,798.84, 50,731.38 and 24,843.24

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Solution

The fourth proportional to 36,798.84, 50,731.38 and 24,843.24 is: 34,249.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,798.84 : 50,731.38 = 24,843.24 : x
  2. Step 2: Convert to fraction form
    36,798.84/50,731.38 = 24,843.24/x
  3. Step 3: Cross multiply
    36,798.84x = 50,731.38 × 24,843.24
  4. Step 4: Simplify right side
    36,798.84x = 1,260,331,848.87
  5. Step 5: Solve for x
    x = 1,260,331,848.87/36,798.84
  6. Step 6: Final answer
    x = 34,249.23

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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.