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Finding the Fourth Proportional to 100,624.76, 150,942.31 and 25,745.55

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Solution

The fourth proportional to 100,624.76, 150,942.31 and 25,745.55 is: 38,619.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,624.76 : 150,942.31 = 25,745.55 : x
  2. Step 2: Convert to fraction form
    100,624.76/150,942.31 = 25,745.55/x
  3. Step 3: Cross multiply
    100,624.76x = 150,942.31 × 25,745.55
  4. Step 4: Simplify right side
    100,624.76x = 3,886,092,724.86
  5. Step 5: Solve for x
    x = 3,886,092,724.86/100,624.76
  6. Step 6: Final answer
    x = 38,619.65

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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.