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Finding the Fourth Proportional to 36,819, 50,810.22 and 20,052

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Solution

The fourth proportional to 36,819, 50,810.22 and 20,052 is: 27,671.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,819 : 50,810.22 = 20,052 : x
  2. Step 2: Convert to fraction form
    36,819/50,810.22 = 20,052/x
  3. Step 3: Cross multiply
    36,819x = 50,810.22 × 20,052
  4. Step 4: Simplify right side
    36,819x = 1,018,846,531.44
  5. Step 5: Solve for x
    x = 1,018,846,531.44/36,819
  6. Step 6: Final answer
    x = 27,671.76

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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.