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Finding the Fourth Proportional to 33,468, 46,186.92 and 18,564

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Solution

The fourth proportional to 33,468, 46,186.92 and 18,564 is: 25,618.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,468 : 46,186.92 = 18,564 : x
  2. Step 2: Convert to fraction form
    33,468/46,186.92 = 18,564/x
  3. Step 3: Cross multiply
    33,468x = 46,186.92 × 18,564
  4. Step 4: Simplify right side
    33,468x = 857,413,982.88
  5. Step 5: Solve for x
    x = 857,413,982.88/33,468
  6. Step 6: Final answer
    x = 25,618.92

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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.