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Finding the Fourth Proportional to 31,445.92, 47,165.04 and 8,072.48

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Solution

The fourth proportional to 31,445.92, 47,165.04 and 8,072.48 is: 12,107.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,445.92 : 47,165.04 = 8,072.48 : x
  2. Step 2: Convert to fraction form
    31,445.92/47,165.04 = 8,072.48/x
  3. Step 3: Cross multiply
    31,445.92x = 47,165.04 × 8,072.48
  4. Step 4: Simplify right side
    31,445.92x = 380,738,842.10
  5. Step 5: Solve for x
    x = 380,738,842.10/31,445.92
  6. Step 6: Final answer
    x = 12,107.73

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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.