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Finding the Fourth Proportional to 32,296.11, 48,453.34 and 12,580.30

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Solution

The fourth proportional to 32,296.11, 48,453.34 and 12,580.30 is: 18,874.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,296.11 : 48,453.34 = 12,580.30 : x
  2. Step 2: Convert to fraction form
    32,296.11/48,453.34 = 12,580.30/x
  3. Step 3: Cross multiply
    32,296.11x = 48,453.34 × 12,580.30
  4. Step 4: Simplify right side
    32,296.11x = 609,557,553.20
  5. Step 5: Solve for x
    x = 609,557,553.20/32,296.11
  6. Step 6: Final answer
    x = 18,874.02

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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.