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Finding the Fourth Proportional to 36,505.16, 50,376.90 and 19,738.12

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Solution

The fourth proportional to 36,505.16, 50,376.90 and 19,738.12 is: 27,238.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,505.16 : 50,376.90 = 19,738.12 : x
  2. Step 2: Convert to fraction form
    36,505.16/50,376.90 = 19,738.12/x
  3. Step 3: Cross multiply
    36,505.16x = 50,376.90 × 19,738.12
  4. Step 4: Simplify right side
    36,505.16x = 994,345,297.43
  5. Step 5: Solve for x
    x = 994,345,297.43/36,505.16
  6. Step 6: Final answer
    x = 27,238.49

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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.