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Finding the Fourth Proportional to 33,467.32, 46,185.90 and 18,563

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Solution

The fourth proportional to 33,467.32, 46,185.90 and 18,563 is: 25,617.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,467.32 : 46,185.90 = 18,563 : x
  2. Step 2: Convert to fraction form
    33,467.32/46,185.90 = 18,563/x
  3. Step 3: Cross multiply
    33,467.32x = 46,185.90 × 18,563
  4. Step 4: Simplify right side
    33,467.32x = 857,348,861.70
  5. Step 5: Solve for x
    x = 857,348,861.70/33,467.32
  6. Step 6: Final answer
    x = 25,617.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.