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Finding the Fourth Proportional to 31,755.47, 47,633.23 and 8,064.79

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Solution

The fourth proportional to 31,755.47, 47,633.23 and 8,064.79 is: 12,097.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,755.47 : 47,633.23 = 8,064.79 : x
  2. Step 2: Convert to fraction form
    31,755.47/47,633.23 = 8,064.79/x
  3. Step 3: Cross multiply
    31,755.47x = 47,633.23 × 8,064.79
  4. Step 4: Simplify right side
    31,755.47x = 384,151,996.97
  5. Step 5: Solve for x
    x = 384,151,996.97/31,755.47
  6. Step 6: Final answer
    x = 12,097.19

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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.