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Finding the Fourth Proportional to 33,919.56, 46,768.32 and 32,049

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Solution

The fourth proportional to 33,919.56, 46,768.32 and 32,049 is: 44,189.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,919.56 : 46,768.32 = 32,049 : x
  2. Step 2: Convert to fraction form
    33,919.56/46,768.32 = 32,049/x
  3. Step 3: Cross multiply
    33,919.56x = 46,768.32 × 32,049
  4. Step 4: Simplify right side
    33,919.56x = 1,498,877,887.68
  5. Step 5: Solve for x
    x = 1,498,877,887.68/33,919.56
  6. Step 6: Final answer
    x = 44,189.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.