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Finding the Fourth Proportional to 31,445.75, 47,168.62 and 8,072.18

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Solution

The fourth proportional to 31,445.75, 47,168.62 and 8,072.18 is: 12,108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,445.75 : 47,168.62 = 8,072.18 : x
  2. Step 2: Convert to fraction form
    31,445.75/47,168.62 = 8,072.18/x
  3. Step 3: Cross multiply
    31,445.75x = 47,168.62 × 8,072.18
  4. Step 4: Simplify right side
    31,445.75x = 380,753,688.73
  5. Step 5: Solve for x
    x = 380,753,688.73/31,445.75
  6. Step 6: Final answer
    x = 12,108.27

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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.