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Finding the Fourth Proportional to 57,153.87, 85,716.97 and 23,855.90

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Solution

The fourth proportional to 57,153.87, 85,716.97 and 23,855.90 is: 35,778.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,153.87 : 85,716.97 = 23,855.90 : x
  2. Step 2: Convert to fraction form
    57,153.87/85,716.97 = 23,855.90/x
  3. Step 3: Cross multiply
    57,153.87x = 85,716.97 × 23,855.90
  4. Step 4: Simplify right side
    57,153.87x = 2,044,854,976.40
  5. Step 5: Solve for x
    x = 2,044,854,976.40/57,153.87
  6. Step 6: Final answer
    x = 35,778.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.