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Finding the Fourth Proportional to 57,847.50, 86,738.04 and 22,768.02

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Solution

The fourth proportional to 57,847.50, 86,738.04 and 22,768.02 is: 34,138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,847.50 : 86,738.04 = 22,768.02 : x
  2. Step 2: Convert to fraction form
    57,847.50/86,738.04 = 22,768.02/x
  3. Step 3: Cross multiply
    57,847.50x = 86,738.04 × 22,768.02
  4. Step 4: Simplify right side
    57,847.50x = 1,974,853,429.48
  5. Step 5: Solve for x
    x = 1,974,853,429.48/57,847.50
  6. Step 6: Final answer
    x = 34,138.96

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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.