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Finding the Fourth Proportional to 31,817.16, 43,906.50 and 17,669.70

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Solution

The fourth proportional to 31,817.16, 43,906.50 and 17,669.70 is: 24,383.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,817.16 : 43,906.50 = 17,669.70 : x
  2. Step 2: Convert to fraction form
    31,817.16/43,906.50 = 17,669.70/x
  3. Step 3: Cross multiply
    31,817.16x = 43,906.50 × 17,669.70
  4. Step 4: Simplify right side
    31,817.16x = 775,814,683.05
  5. Step 5: Solve for x
    x = 775,814,683.05/31,817.16
  6. Step 6: Final answer
    x = 24,383.53

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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.