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Finding the Fourth Proportional to 32,209.96, 48,314.46 and 11,165.32

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Solution

The fourth proportional to 32,209.96, 48,314.46 and 11,165.32 is: 16,747.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,209.96 : 48,314.46 = 11,165.32 : x
  2. Step 2: Convert to fraction form
    32,209.96/48,314.46 = 11,165.32/x
  3. Step 3: Cross multiply
    32,209.96x = 48,314.46 × 11,165.32
  4. Step 4: Simplify right side
    32,209.96x = 539,446,406.53
  5. Step 5: Solve for x
    x = 539,446,406.53/32,209.96
  6. Step 6: Final answer
    x = 16,747.81

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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.