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Finding the Fourth Proportional to 31,907.70, 44,033.34 and 17,761.50

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Solution

The fourth proportional to 31,907.70, 44,033.34 and 17,761.50 is: 24,511.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,907.70 : 44,033.34 = 17,761.50 : x
  2. Step 2: Convert to fraction form
    31,907.70/44,033.34 = 17,761.50/x
  3. Step 3: Cross multiply
    31,907.70x = 44,033.34 × 17,761.50
  4. Step 4: Simplify right side
    31,907.70x = 782,098,168.41
  5. Step 5: Solve for x
    x = 782,098,168.41/31,907.70
  6. Step 6: Final answer
    x = 24,511.27

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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.