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Finding the Fourth Proportional to 32,175.27, 48,230.10 and 19,687.50

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Solution

The fourth proportional to 32,175.27, 48,230.10 and 19,687.50 is: 29,511.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,175.27 : 48,230.10 = 19,687.50 : x
  2. Step 2: Convert to fraction form
    32,175.27/48,230.10 = 19,687.50/x
  3. Step 3: Cross multiply
    32,175.27x = 48,230.10 × 19,687.50
  4. Step 4: Simplify right side
    32,175.27x = 949,530,093.75
  5. Step 5: Solve for x
    x = 949,530,093.75/32,175.27
  6. Step 6: Final answer
    x = 29,511.18

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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.