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Finding the Fourth Proportional to 52,433.39, 78,616.17 and 22,467.24

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Solution

The fourth proportional to 52,433.39, 78,616.17 and 22,467.24 is: 33,686.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,433.39 : 78,616.17 = 22,467.24 : x
  2. Step 2: Convert to fraction form
    52,433.39/78,616.17 = 22,467.24/x
  3. Step 3: Cross multiply
    52,433.39x = 78,616.17 × 22,467.24
  4. Step 4: Simplify right side
    52,433.39x = 1,766,288,359.27
  5. Step 5: Solve for x
    x = 1,766,288,359.27/52,433.39
  6. Step 6: Final answer
    x = 33,686.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.