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Finding the Fourth Proportional to 31,680.48, 47,511.12 and 16,679.44

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Solution

The fourth proportional to 31,680.48, 47,511.12 and 16,679.44 is: 25,014.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,680.48 : 47,511.12 = 16,679.44 : x
  2. Step 2: Convert to fraction form
    31,680.48/47,511.12 = 16,679.44/x
  3. Step 3: Cross multiply
    31,680.48x = 47,511.12 × 16,679.44
  4. Step 4: Simplify right side
    31,680.48x = 792,458,875.37
  5. Step 5: Solve for x
    x = 792,458,875.37/31,680.48
  6. Step 6: Final answer
    x = 25,014.11

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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.