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Finding the Fourth Proportional to 31,982.63, 44,137.22 and 17,838.20

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Solution

The fourth proportional to 31,982.63, 44,137.22 and 17,838.20 is: 24,617.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,982.63 : 44,137.22 = 17,838.20 : x
  2. Step 2: Convert to fraction form
    31,982.63/44,137.22 = 17,838.20/x
  3. Step 3: Cross multiply
    31,982.63x = 44,137.22 × 17,838.20
  4. Step 4: Simplify right side
    31,982.63x = 787,328,247.93
  5. Step 5: Solve for x
    x = 787,328,247.93/31,982.63
  6. Step 6: Final answer
    x = 24,617.37

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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.