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Finding the Fourth Proportional to 31,974.17, 44,122.74 and 17,824.28

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Solution

The fourth proportional to 31,974.17, 44,122.74 and 17,824.28 is: 24,596.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,974.17 : 44,122.74 = 17,824.28 : x
  2. Step 2: Convert to fraction form
    31,974.17/44,122.74 = 17,824.28/x
  3. Step 3: Cross multiply
    31,974.17x = 44,122.74 × 17,824.28
  4. Step 4: Simplify right side
    31,974.17x = 786,456,072.13
  5. Step 5: Solve for x
    x = 786,456,072.13/31,974.17
  6. Step 6: Final answer
    x = 24,596.61

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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.