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Finding the Fourth Proportional to 31,912.98, 47,865.82 and 8,541.24

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Solution

The fourth proportional to 31,912.98, 47,865.82 and 8,541.24 is: 12,810.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,912.98 : 47,865.82 = 8,541.24 : x
  2. Step 2: Convert to fraction form
    31,912.98/47,865.82 = 8,541.24/x
  3. Step 3: Cross multiply
    31,912.98x = 47,865.82 × 8,541.24
  4. Step 4: Simplify right side
    31,912.98x = 408,833,435.06
  5. Step 5: Solve for x
    x = 408,833,435.06/31,912.98
  6. Step 6: Final answer
    x = 12,810.88

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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.