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Finding the Fourth Proportional to 100,624.26, 150,941.56 and 25,745.05

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Solution

The fourth proportional to 100,624.26, 150,941.56 and 25,745.05 is: 38,618.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,624.26 : 150,941.56 = 25,745.05 : x
  2. Step 2: Convert to fraction form
    100,624.26/150,941.56 = 25,745.05/x
  3. Step 3: Cross multiply
    100,624.26x = 150,941.56 × 25,745.05
  4. Step 4: Simplify right side
    100,624.26x = 3,885,998,009.28
  5. Step 5: Solve for x
    x = 3,885,998,009.28/100,624.26
  6. Step 6: Final answer
    x = 38,618.90

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