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Finding the Fourth Proportional to 111,415.46, 167,105.28 and 32,511.20

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Solution

The fourth proportional to 111,415.46, 167,105.28 and 32,511.20 is: 48,761.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,415.46 : 167,105.28 = 32,511.20 : x
  2. Step 2: Convert to fraction form
    111,415.46/167,105.28 = 32,511.20/x
  3. Step 3: Cross multiply
    111,415.46x = 167,105.28 × 32,511.20
  4. Step 4: Simplify right side
    111,415.46x = 5,432,793,179.14
  5. Step 5: Solve for x
    x = 5,432,793,179.14/111,415.46
  6. Step 6: Final answer
    x = 48,761.57

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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.