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Finding the Fourth Proportional to 23,078, 34,568.04 and 22,269.68

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Solution

The fourth proportional to 23,078, 34,568.04 and 22,269.68 is: 33,357.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,078 : 34,568.04 = 22,269.68 : x
  2. Step 2: Convert to fraction form
    23,078/34,568.04 = 22,269.68/x
  3. Step 3: Cross multiply
    23,078x = 34,568.04 × 22,269.68
  4. Step 4: Simplify right side
    23,078x = 769,819,189.03
  5. Step 5: Solve for x
    x = 769,819,189.03/23,078
  6. Step 6: Final answer
    x = 33,357.27

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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.