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Finding the Fourth Proportional to 72,227.70, 108,322.11 and 25,474.50

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Solution

The fourth proportional to 72,227.70, 108,322.11 and 25,474.50 is: 38,204.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,227.70 : 108,322.11 = 25,474.50 : x
  2. Step 2: Convert to fraction form
    72,227.70/108,322.11 = 25,474.50/x
  3. Step 3: Cross multiply
    72,227.70x = 108,322.11 × 25,474.50
  4. Step 4: Simplify right side
    72,227.70x = 2,759,451,591.20
  5. Step 5: Solve for x
    x = 2,759,451,591.20/72,227.70
  6. Step 6: Final answer
    x = 38,204.89

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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.