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Finding the Fourth Proportional to 32,182.92, 48,274.38 and 9,997.63

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Solution

The fourth proportional to 32,182.92, 48,274.38 and 9,997.63 is: 14,996.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,182.92 : 48,274.38 = 9,997.63 : x
  2. Step 2: Convert to fraction form
    32,182.92/48,274.38 = 9,997.63/x
  3. Step 3: Cross multiply
    32,182.92x = 48,274.38 × 9,997.63
  4. Step 4: Simplify right side
    32,182.92x = 482,629,269.03
  5. Step 5: Solve for x
    x = 482,629,269.03/32,182.92
  6. Step 6: Final answer
    x = 14,996.44

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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.