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Finding the Fourth Proportional to 33,872.50, 46,745.67 and 20,443.51

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Solution

The fourth proportional to 33,872.50, 46,745.67 and 20,443.51 is: 28,213.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,872.50 : 46,745.67 = 20,443.51 : x
  2. Step 2: Convert to fraction form
    33,872.50/46,745.67 = 20,443.51/x
  3. Step 3: Cross multiply
    33,872.50x = 46,745.67 × 20,443.51
  4. Step 4: Simplify right side
    33,872.50x = 955,645,572.10
  5. Step 5: Solve for x
    x = 955,645,572.10/33,872.50
  6. Step 6: Final answer
    x = 28,213.02

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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.