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Finding the Fourth Proportional to 32,219.52, 48,327.12 and 8,844

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Solution

The fourth proportional to 32,219.52, 48,327.12 and 8,844 is: 13,265.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,219.52 : 48,327.12 = 8,844 : x
  2. Step 2: Convert to fraction form
    32,219.52/48,327.12 = 8,844/x
  3. Step 3: Cross multiply
    32,219.52x = 48,327.12 × 8,844
  4. Step 4: Simplify right side
    32,219.52x = 427,405,049.28
  5. Step 5: Solve for x
    x = 427,405,049.28/32,219.52
  6. Step 6: Final answer
    x = 13,265.41

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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.