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Finding the Fourth Proportional to 31,663.24, 47,493.17 and 11,940.52

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Solution

The fourth proportional to 31,663.24, 47,493.17 and 11,940.52 is: 17,910.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,663.24 : 47,493.17 = 11,940.52 : x
  2. Step 2: Convert to fraction form
    31,663.24/47,493.17 = 11,940.52/x
  3. Step 3: Cross multiply
    31,663.24x = 47,493.17 × 11,940.52
  4. Step 4: Simplify right side
    31,663.24x = 567,093,146.25
  5. Step 5: Solve for x
    x = 567,093,146.25/31,663.24
  6. Step 6: Final answer
    x = 17,910.14

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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.