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Finding the Fourth Proportional to 36,372, 50,193.90 and 22,221.84

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Solution

The fourth proportional to 36,372, 50,193.90 and 22,221.84 is: 30,666.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,372 : 50,193.90 = 22,221.84 : x
  2. Step 2: Convert to fraction form
    36,372/50,193.90 = 22,221.84/x
  3. Step 3: Cross multiply
    36,372x = 50,193.90 × 22,221.84
  4. Step 4: Simplify right side
    36,372x = 1,115,400,814.78
  5. Step 5: Solve for x
    x = 1,115,400,814.78/36,372
  6. Step 6: Final answer
    x = 30,666.47

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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.