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Finding the Fourth Proportional to 33,909.78, 46,786.11 and 19,568.61

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Solution

The fourth proportional to 33,909.78, 46,786.11 and 19,568.61 is: 26,999.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,909.78 : 46,786.11 = 19,568.61 : x
  2. Step 2: Convert to fraction form
    33,909.78/46,786.11 = 19,568.61/x
  3. Step 3: Cross multiply
    33,909.78x = 46,786.11 × 19,568.61
  4. Step 4: Simplify right side
    33,909.78x = 915,539,140.01
  5. Step 5: Solve for x
    x = 915,539,140.01/33,909.78
  6. Step 6: Final answer
    x = 26,999.27

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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.