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Finding the Fourth Proportional to 33,378.27, 50,029.73 and 13,646.06

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Solution

The fourth proportional to 33,378.27, 50,029.73 and 13,646.06 is: 20,453.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,378.27 : 50,029.73 = 13,646.06 : x
  2. Step 2: Convert to fraction form
    33,378.27/50,029.73 = 13,646.06/x
  3. Step 3: Cross multiply
    33,378.27x = 50,029.73 × 13,646.06
  4. Step 4: Simplify right side
    33,378.27x = 682,708,697.36
  5. Step 5: Solve for x
    x = 682,708,697.36/33,378.27
  6. Step 6: Final answer
    x = 20,453.69

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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.