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Finding the Fourth Proportional to 33,998.71, 46,751.84 and 29,514.61

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Solution

The fourth proportional to 33,998.71, 46,751.84 and 29,514.61 is: 40,585.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,998.71 : 46,751.84 = 29,514.61 : x
  2. Step 2: Convert to fraction form
    33,998.71/46,751.84 = 29,514.61/x
  3. Step 3: Cross multiply
    33,998.71x = 46,751.84 × 29,514.61
  4. Step 4: Simplify right side
    33,998.71x = 1,379,862,324.38
  5. Step 5: Solve for x
    x = 1,379,862,324.38/33,998.71
  6. Step 6: Final answer
    x = 40,585.73

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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.