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Finding the Fourth Proportional to 31,755.09, 47,632.66 and 8,064.42

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Solution

The fourth proportional to 31,755.09, 47,632.66 and 8,064.42 is: 12,096.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,755.09 : 47,632.66 = 8,064.42 : x
  2. Step 2: Convert to fraction form
    31,755.09/47,632.66 = 8,064.42/x
  3. Step 3: Cross multiply
    31,755.09x = 47,632.66 × 8,064.42
  4. Step 4: Simplify right side
    31,755.09x = 384,129,622.54
  5. Step 5: Solve for x
    x = 384,129,622.54/31,755.09
  6. Step 6: Final answer
    x = 12,096.63

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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.