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Finding the Fourth Proportional to 31,754.08, 47,627.46 and 8,382.34

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Solution

The fourth proportional to 31,754.08, 47,627.46 and 8,382.34 is: 12,572.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,754.08 : 47,627.46 = 8,382.34 : x
  2. Step 2: Convert to fraction form
    31,754.08/47,627.46 = 8,382.34/x
  3. Step 3: Cross multiply
    31,754.08x = 47,627.46 × 8,382.34
  4. Step 4: Simplify right side
    31,754.08x = 399,229,563.06
  5. Step 5: Solve for x
    x = 399,229,563.06/31,754.08
  6. Step 6: Final answer
    x = 12,572.54

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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.