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Finding the Fourth Proportional to 32,171.31, 48,247.74 and 11,105.88

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Solution

The fourth proportional to 32,171.31, 48,247.74 and 11,105.88 is: 16,655.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,171.31 : 48,247.74 = 11,105.88 : x
  2. Step 2: Convert to fraction form
    32,171.31/48,247.74 = 11,105.88/x
  3. Step 3: Cross multiply
    32,171.31x = 48,247.74 × 11,105.88
  4. Step 4: Simplify right side
    32,171.31x = 535,833,610.71
  5. Step 5: Solve for x
    x = 535,833,610.71/32,171.31
  6. Step 6: Final answer
    x = 16,655.64

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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.