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Finding the Fourth Proportional to 71,142.72, 106,745.04 and 33,729

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Solution

The fourth proportional to 71,142.72, 106,745.04 and 33,729 is: 50,608.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,142.72 : 106,745.04 = 33,729 : x
  2. Step 2: Convert to fraction form
    71,142.72/106,745.04 = 33,729/x
  3. Step 3: Cross multiply
    71,142.72x = 106,745.04 × 33,729
  4. Step 4: Simplify right side
    71,142.72x = 3,600,403,454.16
  5. Step 5: Solve for x
    x = 3,600,403,454.16/71,142.72
  6. Step 6: Final answer
    x = 50,608.18

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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.