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Finding the Fourth Proportional to 31,380.21, 47,073.06 and 8,006.67

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Solution

The fourth proportional to 31,380.21, 47,073.06 and 8,006.67 is: 12,010.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,380.21 : 47,073.06 = 8,006.67 : x
  2. Step 2: Convert to fraction form
    31,380.21/47,073.06 = 8,006.67/x
  3. Step 3: Cross multiply
    31,380.21x = 47,073.06 × 8,006.67
  4. Step 4: Simplify right side
    31,380.21x = 376,898,457.31
  5. Step 5: Solve for x
    x = 376,898,457.31/31,380.21
  6. Step 6: Final answer
    x = 12,010.71

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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.