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Finding the Fourth Proportional to 33,566, 46,321.24 and 18,662

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Solution

The fourth proportional to 33,566, 46,321.24 and 18,662 is: 25,753.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,566 : 46,321.24 = 18,662 : x
  2. Step 2: Convert to fraction form
    33,566/46,321.24 = 18,662/x
  3. Step 3: Cross multiply
    33,566x = 46,321.24 × 18,662
  4. Step 4: Simplify right side
    33,566x = 864,446,980.88
  5. Step 5: Solve for x
    x = 864,446,980.88/33,566
  6. Step 6: Final answer
    x = 25,753.65

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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.