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Finding the Fourth Proportional to 35,879.66, 49,514.82 and 19,965.68

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Solution

The fourth proportional to 35,879.66, 49,514.82 and 19,965.68 is: 27,553.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,879.66 : 49,514.82 = 19,965.68 : x
  2. Step 2: Convert to fraction form
    35,879.66/49,514.82 = 19,965.68/x
  3. Step 3: Cross multiply
    35,879.66x = 49,514.82 × 19,965.68
  4. Step 4: Simplify right side
    35,879.66x = 988,597,051.38
  5. Step 5: Solve for x
    x = 988,597,051.38/35,879.66
  6. Step 6: Final answer
    x = 27,553.13

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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.