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Finding the Fourth Proportional to 32,346.96, 48,505.06 and 11,284.44

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Solution

The fourth proportional to 32,346.96, 48,505.06 and 11,284.44 is: 16,921.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,346.96 : 48,505.06 = 11,284.44 : x
  2. Step 2: Convert to fraction form
    32,346.96/48,505.06 = 11,284.44/x
  3. Step 3: Cross multiply
    32,346.96x = 48,505.06 × 11,284.44
  4. Step 4: Simplify right side
    32,346.96x = 547,352,439.27
  5. Step 5: Solve for x
    x = 547,352,439.27/32,346.96
  6. Step 6: Final answer
    x = 16,921.29

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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.