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Finding the Fourth Proportional to 31,500.56, 47,251.76 and 8,127

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Solution

The fourth proportional to 31,500.56, 47,251.76 and 8,127 is: 12,190.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,500.56 : 47,251.76 = 8,127 : x
  2. Step 2: Convert to fraction form
    31,500.56/47,251.76 = 8,127/x
  3. Step 3: Cross multiply
    31,500.56x = 47,251.76 × 8,127
  4. Step 4: Simplify right side
    31,500.56x = 384,015,012.89
  5. Step 5: Solve for x
    x = 384,015,012.89/31,500.56
  6. Step 6: Final answer
    x = 12,190.74

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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.