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Finding the Fourth Proportional to 33,920.56, 46,769.70 and 32,050

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Solution

The fourth proportional to 33,920.56, 46,769.70 and 32,050 is: 44,190.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,920.56 : 46,769.70 = 32,050 : x
  2. Step 2: Convert to fraction form
    33,920.56/46,769.70 = 32,050/x
  3. Step 3: Cross multiply
    33,920.56x = 46,769.70 × 32,050
  4. Step 4: Simplify right side
    33,920.56x = 1,498,968,885
  5. Step 5: Solve for x
    x = 1,498,968,885/33,920.56
  6. Step 6: Final answer
    x = 44,190.57

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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.