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Finding the Fourth Proportional to 33,194.38, 45,853 and 30,832.42

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Solution

The fourth proportional to 33,194.38, 45,853 and 30,832.42 is: 42,590.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,194.38 : 45,853 = 30,832.42 : x
  2. Step 2: Convert to fraction form
    33,194.38/45,853 = 30,832.42/x
  3. Step 3: Cross multiply
    33,194.38x = 45,853 × 30,832.42
  4. Step 4: Simplify right side
    33,194.38x = 1,413,758,954.26
  5. Step 5: Solve for x
    x = 1,413,758,954.26/33,194.38
  6. Step 6: Final answer
    x = 42,590.31

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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.