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Finding the Fourth Proportional to 33,774.85, 50,651.29 and 14,048.11

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Solution

The fourth proportional to 33,774.85, 50,651.29 and 14,048.11 is: 21,067.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,774.85 : 50,651.29 = 14,048.11 : x
  2. Step 2: Convert to fraction form
    33,774.85/50,651.29 = 14,048.11/x
  3. Step 3: Cross multiply
    33,774.85x = 50,651.29 × 14,048.11
  4. Step 4: Simplify right side
    33,774.85x = 711,554,893.56
  5. Step 5: Solve for x
    x = 711,554,893.56/33,774.85
  6. Step 6: Final answer
    x = 21,067.60

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Why These Related Problems?

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