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Finding the Fourth Proportional to 50,595, 75,922.28 and 22,516.36

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Solution

The fourth proportional to 50,595, 75,922.28 and 22,516.36 is: 33,787.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,595 : 75,922.28 = 22,516.36 : x
  2. Step 2: Convert to fraction form
    50,595/75,922.28 = 22,516.36/x
  3. Step 3: Cross multiply
    50,595x = 75,922.28 × 22,516.36
  4. Step 4: Simplify right side
    50,595x = 1,709,493,388.50
  5. Step 5: Solve for x
    x = 1,709,493,388.50/50,595
  6. Step 6: Final answer
    x = 33,787.79

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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.