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Finding the Fourth Proportional to 33,725, 46,540.68 and 18,821

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Solution

The fourth proportional to 33,725, 46,540.68 and 18,821 is: 25,973.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,725 : 46,540.68 = 18,821 : x
  2. Step 2: Convert to fraction form
    33,725/46,540.68 = 18,821/x
  3. Step 3: Cross multiply
    33,725x = 46,540.68 × 18,821
  4. Step 4: Simplify right side
    33,725x = 875,942,138.28
  5. Step 5: Solve for x
    x = 875,942,138.28/33,725
  6. Step 6: Final answer
    x = 25,973.08

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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.