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Finding the Fourth Proportional to 31,793.40, 43,878.78 and 17,650.80

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Solution

The fourth proportional to 31,793.40, 43,878.78 and 17,650.80 is: 24,360.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,793.40 : 43,878.78 = 17,650.80 : x
  2. Step 2: Convert to fraction form
    31,793.40/43,878.78 = 17,650.80/x
  3. Step 3: Cross multiply
    31,793.40x = 43,878.78 × 17,650.80
  4. Step 4: Simplify right side
    31,793.40x = 774,495,570.02
  5. Step 5: Solve for x
    x = 774,495,570.02/31,793.40
  6. Step 6: Final answer
    x = 24,360.26

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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.