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Finding the Fourth Proportional to 45,997.68, 69,002 and 16,418.44

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Solution

The fourth proportional to 45,997.68, 69,002 and 16,418.44 is: 24,629.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,997.68 : 69,002 = 16,418.44 : x
  2. Step 2: Convert to fraction form
    45,997.68/69,002 = 16,418.44/x
  3. Step 3: Cross multiply
    45,997.68x = 69,002 × 16,418.44
  4. Step 4: Simplify right side
    45,997.68x = 1,132,905,196.88
  5. Step 5: Solve for x
    x = 1,132,905,196.88/45,997.68
  6. Step 6: Final answer
    x = 24,629.62

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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.