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Finding the Fourth Proportional to 36,872.16, 50,883.84 and 20,105.16

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Solution

The fourth proportional to 36,872.16, 50,883.84 and 20,105.16 is: 27,745.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,872.16 : 50,883.84 = 20,105.16 : x
  2. Step 2: Convert to fraction form
    36,872.16/50,883.84 = 20,105.16/x
  3. Step 3: Cross multiply
    36,872.16x = 50,883.84 × 20,105.16
  4. Step 4: Simplify right side
    36,872.16x = 1,023,027,744.61
  5. Step 5: Solve for x
    x = 1,023,027,744.61/36,872.16
  6. Step 6: Final answer
    x = 27,745.26

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1.5x scale

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.