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Finding the Fourth Proportional to 31,193.84, 43,047.24 and 17,046.56

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Solution

The fourth proportional to 31,193.84, 43,047.24 and 17,046.56 is: 23,524.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,193.84 : 43,047.24 = 17,046.56 : x
  2. Step 2: Convert to fraction form
    31,193.84/43,047.24 = 17,046.56/x
  3. Step 3: Cross multiply
    31,193.84x = 43,047.24 × 17,046.56
  4. Step 4: Simplify right side
    31,193.84x = 733,807,359.49
  5. Step 5: Solve for x
    x = 733,807,359.49/31,193.84
  6. Step 6: Final answer
    x = 23,524.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.