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Finding the Fourth Proportional to 31,940.01, 47,910.06 and 8,564.67

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Solution

The fourth proportional to 31,940.01, 47,910.06 and 8,564.67 is: 12,847.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,940.01 : 47,910.06 = 8,564.67 : x
  2. Step 2: Convert to fraction form
    31,940.01/47,910.06 = 8,564.67/x
  3. Step 3: Cross multiply
    31,940.01x = 47,910.06 × 8,564.67
  4. Step 4: Simplify right side
    31,940.01x = 410,333,853.58
  5. Step 5: Solve for x
    x = 410,333,853.58/31,940.01
  6. Step 6: Final answer
    x = 12,847.02

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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.