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Finding the Fourth Proportional to 39,219.87, 54,121.35 and 22,224.32

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Solution

The fourth proportional to 39,219.87, 54,121.35 and 22,224.32 is: 30,668.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,219.87 : 54,121.35 = 22,224.32 : x
  2. Step 2: Convert to fraction form
    39,219.87/54,121.35 = 22,224.32/x
  3. Step 3: Cross multiply
    39,219.87x = 54,121.35 × 22,224.32
  4. Step 4: Simplify right side
    39,219.87x = 1,202,809,953.30
  5. Step 5: Solve for x
    x = 1,202,809,953.30/39,219.87
  6. Step 6: Final answer
    x = 30,668.38

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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.