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Finding the Fourth Proportional to 31,907.50, 44,033.82 and 17,761.26

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Solution

The fourth proportional to 31,907.50, 44,033.82 and 17,761.26 is: 24,511.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,907.50 : 44,033.82 = 17,761.26 : x
  2. Step 2: Convert to fraction form
    31,907.50/44,033.82 = 17,761.26/x
  3. Step 3: Cross multiply
    31,907.50x = 44,033.82 × 17,761.26
  4. Step 4: Simplify right side
    31,907.50x = 782,096,125.81
  5. Step 5: Solve for x
    x = 782,096,125.81/31,907.50
  6. Step 6: Final answer
    x = 24,511.36

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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.