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Finding the Fourth Proportional to 33,977.36, 50,914.10 and 14,245.16

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Solution

The fourth proportional to 33,977.36, 50,914.10 and 14,245.16 is: 21,345.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,977.36 : 50,914.10 = 14,245.16 : x
  2. Step 2: Convert to fraction form
    33,977.36/50,914.10 = 14,245.16/x
  3. Step 3: Cross multiply
    33,977.36x = 50,914.10 × 14,245.16
  4. Step 4: Simplify right side
    33,977.36x = 725,279,500.76
  5. Step 5: Solve for x
    x = 725,279,500.76/33,977.36
  6. Step 6: Final answer
    x = 21,345.96

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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.