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Finding the Fourth Proportional to 33,723, 50,549.94 and 14,013

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Solution

The fourth proportional to 33,723, 50,549.94 and 14,013 is: 21,005.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,723 : 50,549.94 = 14,013 : x
  2. Step 2: Convert to fraction form
    33,723/50,549.94 = 14,013/x
  3. Step 3: Cross multiply
    33,723x = 50,549.94 × 14,013
  4. Step 4: Simplify right side
    33,723x = 708,356,309.22
  5. Step 5: Solve for x
    x = 708,356,309.22/33,723
  6. Step 6: Final answer
    x = 21,005.14

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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.