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Finding the Fourth Proportional to 31,266.50, 43,151.89 and 17,834.68

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Solution

The fourth proportional to 31,266.50, 43,151.89 and 17,834.68 is: 24,614.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,266.50 : 43,151.89 = 17,834.68 : x
  2. Step 2: Convert to fraction form
    31,266.50/43,151.89 = 17,834.68/x
  3. Step 3: Cross multiply
    31,266.50x = 43,151.89 × 17,834.68
  4. Step 4: Simplify right side
    31,266.50x = 769,600,149.55
  5. Step 5: Solve for x
    x = 769,600,149.55/31,266.50
  6. Step 6: Final answer
    x = 24,614.21

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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.