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Finding the Fourth Proportional to 33,805.44, 50,714.92 and 10,431

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Solution

The fourth proportional to 33,805.44, 50,714.92 and 10,431 is: 15,648.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,805.44 : 50,714.92 = 10,431 : x
  2. Step 2: Convert to fraction form
    33,805.44/50,714.92 = 10,431/x
  3. Step 3: Cross multiply
    33,805.44x = 50,714.92 × 10,431
  4. Step 4: Simplify right side
    33,805.44x = 529,007,330.52
  5. Step 5: Solve for x
    x = 529,007,330.52/33,805.44
  6. Step 6: Final answer
    x = 15,648.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.