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Finding the Fourth Proportional to 72,114.33, 108,183.80 and 22,193.32

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Solution

The fourth proportional to 72,114.33, 108,183.80 and 22,193.32 is: 33,293.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,114.33 : 108,183.80 = 22,193.32 : x
  2. Step 2: Convert to fraction form
    72,114.33/108,183.80 = 22,193.32/x
  3. Step 3: Cross multiply
    72,114.33x = 108,183.80 × 22,193.32
  4. Step 4: Simplify right side
    72,114.33x = 2,400,957,375.82
  5. Step 5: Solve for x
    x = 2,400,957,375.82/72,114.33
  6. Step 6: Final answer
    x = 33,293.76

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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.