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Finding the Fourth Proportional to 33,622, 50,428.46 and 13,897.82

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Solution

The fourth proportional to 33,622, 50,428.46 and 13,897.82 is: 20,844.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,622 : 50,428.46 = 13,897.82 : x
  2. Step 2: Convert to fraction form
    33,622/50,428.46 = 13,897.82/x
  3. Step 3: Cross multiply
    33,622x = 50,428.46 × 13,897.82
  4. Step 4: Simplify right side
    33,622x = 700,845,659.96
  5. Step 5: Solve for x
    x = 700,845,659.96/33,622
  6. Step 6: Final answer
    x = 20,844.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.