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Finding the Fourth Proportional to 35,832.72, 53,745.44 and 9,540.12

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Solution

The fourth proportional to 35,832.72, 53,745.44 and 9,540.12 is: 14,309.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,832.72 : 53,745.44 = 9,540.12 : x
  2. Step 2: Convert to fraction form
    35,832.72/53,745.44 = 9,540.12/x
  3. Step 3: Cross multiply
    35,832.72x = 53,745.44 × 9,540.12
  4. Step 4: Simplify right side
    35,832.72x = 512,737,947.05
  5. Step 5: Solve for x
    x = 512,737,947.05/35,832.72
  6. Step 6: Final answer
    x = 14,309.21

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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.