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Finding the Fourth Proportional to 33,493, 46,222.50 and 18,589

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Solution

The fourth proportional to 33,493, 46,222.50 and 18,589 is: 25,654.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,493 : 46,222.50 = 18,589 : x
  2. Step 2: Convert to fraction form
    33,493/46,222.50 = 18,589/x
  3. Step 3: Cross multiply
    33,493x = 46,222.50 × 18,589
  4. Step 4: Simplify right side
    33,493x = 859,230,052.50
  5. Step 5: Solve for x
    x = 859,230,052.50/33,493
  6. Step 6: Final answer
    x = 25,654.02

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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.