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Finding the Fourth Proportional to 32,016.60, 48,021.12 and 8,644.86

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Solution

The fourth proportional to 32,016.60, 48,021.12 and 8,644.86 is: 12,966.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,016.60 : 48,021.12 = 8,644.86 : x
  2. Step 2: Convert to fraction form
    32,016.60/48,021.12 = 8,644.86/x
  3. Step 3: Cross multiply
    32,016.60x = 48,021.12 × 8,644.86
  4. Step 4: Simplify right side
    32,016.60x = 415,135,859.44
  5. Step 5: Solve for x
    x = 415,135,859.44/32,016.60
  6. Step 6: Final answer
    x = 12,966.27

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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.