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Finding the Fourth Proportional to 34,524.38, 47,636.51 and 20,181.44

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Solution

The fourth proportional to 34,524.38, 47,636.51 and 20,181.44 is: 27,846.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,524.38 : 47,636.51 = 20,181.44 : x
  2. Step 2: Convert to fraction form
    34,524.38/47,636.51 = 20,181.44/x
  3. Step 3: Cross multiply
    34,524.38x = 47,636.51 × 20,181.44
  4. Step 4: Simplify right side
    34,524.38x = 961,373,386.56
  5. Step 5: Solve for x
    x = 961,373,386.56/34,524.38
  6. Step 6: Final answer
    x = 27,846.22

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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.