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Finding the Fourth Proportional to 36,514.38, 50,377.59 and 29,788.38

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Solution

The fourth proportional to 36,514.38, 50,377.59 and 29,788.38 is: 41,097.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,514.38 : 50,377.59 = 29,788.38 : x
  2. Step 2: Convert to fraction form
    36,514.38/50,377.59 = 29,788.38/x
  3. Step 3: Cross multiply
    36,514.38x = 50,377.59 × 29,788.38
  4. Step 4: Simplify right side
    36,514.38x = 1,500,666,794.40
  5. Step 5: Solve for x
    x = 1,500,666,794.40/36,514.38
  6. Step 6: Final answer
    x = 41,097.97

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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.