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Finding the Fourth Proportional to 69,244.24, 103,876.32 and 21,843.20

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Solution

The fourth proportional to 69,244.24, 103,876.32 and 21,843.20 is: 32,767.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,244.24 : 103,876.32 = 21,843.20 : x
  2. Step 2: Convert to fraction form
    69,244.24/103,876.32 = 21,843.20/x
  3. Step 3: Cross multiply
    69,244.24x = 103,876.32 × 21,843.20
  4. Step 4: Simplify right side
    69,244.24x = 2,268,991,233.02
  5. Step 5: Solve for x
    x = 2,268,991,233.02/69,244.24
  6. Step 6: Final answer
    x = 32,767.94

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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.