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Finding the Fourth Proportional to 33,642.94, 50,470.34 and 13,910.44

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Solution

The fourth proportional to 33,642.94, 50,470.34 and 13,910.44 is: 20,868.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,642.94 : 50,470.34 = 13,910.44 : x
  2. Step 2: Convert to fraction form
    33,642.94/50,470.34 = 13,910.44/x
  3. Step 3: Cross multiply
    33,642.94x = 50,470.34 × 13,910.44
  4. Step 4: Simplify right side
    33,642.94x = 702,064,636.35
  5. Step 5: Solve for x
    x = 702,064,636.35/33,642.94
  6. Step 6: Final answer
    x = 20,868.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.