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Finding the Fourth Proportional to 36,382.15, 50,205.72 and 20,250.28

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Solution

The fourth proportional to 36,382.15, 50,205.72 and 20,250.28 is: 27,944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,382.15 : 50,205.72 = 20,250.28 : x
  2. Step 2: Convert to fraction form
    36,382.15/50,205.72 = 20,250.28/x
  3. Step 3: Cross multiply
    36,382.15x = 50,205.72 × 20,250.28
  4. Step 4: Simplify right side
    36,382.15x = 1,016,679,887.60
  5. Step 5: Solve for x
    x = 1,016,679,887.60/36,382.15
  6. Step 6: Final answer
    x = 27,944.47

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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.