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Finding the Fourth Proportional to 31,893.85, 44,012.46 and 17,746.39

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Solution

The fourth proportional to 31,893.85, 44,012.46 and 17,746.39 is: 24,489.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,893.85 : 44,012.46 = 17,746.39 : x
  2. Step 2: Convert to fraction form
    31,893.85/44,012.46 = 17,746.39/x
  3. Step 3: Cross multiply
    31,893.85x = 44,012.46 × 17,746.39
  4. Step 4: Simplify right side
    31,893.85x = 781,062,280.02
  5. Step 5: Solve for x
    x = 781,062,280.02/31,893.85
  6. Step 6: Final answer
    x = 24,489.43

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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.