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Finding the Fourth Proportional to 31,908.16, 44,035.86 and 17,761.24

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Solution

The fourth proportional to 31,908.16, 44,035.86 and 17,761.24 is: 24,511.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,908.16 : 44,035.86 = 17,761.24 : x
  2. Step 2: Convert to fraction form
    31,908.16/44,035.86 = 17,761.24/x
  3. Step 3: Cross multiply
    31,908.16x = 44,035.86 × 17,761.24
  4. Step 4: Simplify right side
    31,908.16x = 782,131,478.07
  5. Step 5: Solve for x
    x = 782,131,478.07/31,908.16
  6. Step 6: Final answer
    x = 24,511.96

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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.