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Finding the Fourth Proportional to 69,324.26, 103,993.68 and 22,580.78

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Solution

The fourth proportional to 69,324.26, 103,993.68 and 22,580.78 is: 33,873.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,324.26 : 103,993.68 = 22,580.78 : x
  2. Step 2: Convert to fraction form
    69,324.26/103,993.68 = 22,580.78/x
  3. Step 3: Cross multiply
    69,324.26x = 103,993.68 × 22,580.78
  4. Step 4: Simplify right side
    69,324.26x = 2,348,258,409.47
  5. Step 5: Solve for x
    x = 2,348,258,409.47/69,324.26
  6. Step 6: Final answer
    x = 33,873.54

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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.