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Finding the Fourth Proportional to 36,813.42, 50,803.11 and 20,046.42

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Solution

The fourth proportional to 36,813.42, 50,803.11 and 20,046.42 is: 27,664.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,813.42 : 50,803.11 = 20,046.42 : x
  2. Step 2: Convert to fraction form
    36,813.42/50,803.11 = 20,046.42/x
  3. Step 3: Cross multiply
    36,813.42x = 50,803.11 × 20,046.42
  4. Step 4: Simplify right side
    36,813.42x = 1,018,420,480.37
  5. Step 5: Solve for x
    x = 1,018,420,480.37/36,813.42
  6. Step 6: Final answer
    x = 27,664.38

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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.