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Finding the Fourth Proportional to 100,624.72, 150,942.24 and 25,745.50

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Solution

The fourth proportional to 100,624.72, 150,942.24 and 25,745.50 is: 38,619.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,624.72 : 150,942.24 = 25,745.50 : x
  2. Step 2: Convert to fraction form
    100,624.72/150,942.24 = 25,745.50/x
  3. Step 3: Cross multiply
    100,624.72x = 150,942.24 × 25,745.50
  4. Step 4: Simplify right side
    100,624.72x = 3,886,083,439.92
  5. Step 5: Solve for x
    x = 3,886,083,439.92/100,624.72
  6. Step 6: Final answer
    x = 38,619.57

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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.