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Finding the Fourth Proportional to 32,171.25, 48,245.01 and 11,105.91

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Solution

The fourth proportional to 32,171.25, 48,245.01 and 11,105.91 is: 16,654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,171.25 : 48,245.01 = 11,105.91 : x
  2. Step 2: Convert to fraction form
    32,171.25/48,245.01 = 11,105.91/x
  3. Step 3: Cross multiply
    32,171.25x = 48,245.01 × 11,105.91
  4. Step 4: Simplify right side
    32,171.25x = 535,804,739.01
  5. Step 5: Solve for x
    x = 535,804,739.01/32,171.25
  6. Step 6: Final answer
    x = 16,654.77

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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.