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Finding the Fourth Proportional to 31,738.84, 43,797.31 and 17,396.37

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Solution

The fourth proportional to 31,738.84, 43,797.31 and 17,396.37 is: 24,005.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,738.84 : 43,797.31 = 17,396.37 : x
  2. Step 2: Convert to fraction form
    31,738.84/43,797.31 = 17,396.37/x
  3. Step 3: Cross multiply
    31,738.84x = 43,797.31 × 17,396.37
  4. Step 4: Simplify right side
    31,738.84x = 761,914,166.27
  5. Step 5: Solve for x
    x = 761,914,166.27/31,738.84
  6. Step 6: Final answer
    x = 24,005.74

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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.