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Finding the Fourth Proportional to 33,578, 46,338.66 and 18,469.88

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Solution

The fourth proportional to 33,578, 46,338.66 and 18,469.88 is: 25,489.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,578 : 46,338.66 = 18,469.88 : x
  2. Step 2: Convert to fraction form
    33,578/46,338.66 = 18,469.88/x
  3. Step 3: Cross multiply
    33,578x = 46,338.66 × 18,469.88
  4. Step 4: Simplify right side
    33,578x = 855,869,489.56
  5. Step 5: Solve for x
    x = 855,869,489.56/33,578
  6. Step 6: Final answer
    x = 25,489.00

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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.