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Finding the Fourth Proportional to 39,997.68, 55,185.72 and 23,001

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Solution

The fourth proportional to 39,997.68, 55,185.72 and 23,001 is: 31,735.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,997.68 : 55,185.72 = 23,001 : x
  2. Step 2: Convert to fraction form
    39,997.68/55,185.72 = 23,001/x
  3. Step 3: Cross multiply
    39,997.68x = 55,185.72 × 23,001
  4. Step 4: Simplify right side
    39,997.68x = 1,269,326,745.72
  5. Step 5: Solve for x
    x = 1,269,326,745.72/39,997.68
  6. Step 6: Final answer
    x = 31,735.01

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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.