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Finding the Fourth Proportional to 36,952.32, 50,994 and 20,185.20

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Solution

The fourth proportional to 36,952.32, 50,994 and 20,185.20 is: 27,855.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,952.32 : 50,994 = 20,185.20 : x
  2. Step 2: Convert to fraction form
    36,952.32/50,994 = 20,185.20/x
  3. Step 3: Cross multiply
    36,952.32x = 50,994 × 20,185.20
  4. Step 4: Simplify right side
    36,952.32x = 1,029,324,088.80
  5. Step 5: Solve for x
    x = 1,029,324,088.80/36,952.32
  6. Step 6: Final answer
    x = 27,855.47

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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.