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Finding the Fourth Proportional to 33,734, 46,552.96 and 18,830

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Solution

The fourth proportional to 33,734, 46,552.96 and 18,830 is: 25,985.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,734 : 46,552.96 = 18,830 : x
  2. Step 2: Convert to fraction form
    33,734/46,552.96 = 18,830/x
  3. Step 3: Cross multiply
    33,734x = 46,552.96 × 18,830
  4. Step 4: Simplify right side
    33,734x = 876,592,236.80
  5. Step 5: Solve for x
    x = 876,592,236.80/33,734
  6. Step 6: Final answer
    x = 25,985.42

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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.