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Finding the Fourth Proportional to 100,591.99, 150,911.34 and 29,511.76

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Solution

The fourth proportional to 100,591.99, 150,911.34 and 29,511.76 is: 44,274.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,591.99 : 150,911.34 = 29,511.76 : x
  2. Step 2: Convert to fraction form
    100,591.99/150,911.34 = 29,511.76/x
  3. Step 3: Cross multiply
    100,591.99x = 150,911.34 × 29,511.76
  4. Step 4: Simplify right side
    100,591.99x = 4,453,659,208.37
  5. Step 5: Solve for x
    x = 4,453,659,208.37/100,591.99
  6. Step 6: Final answer
    x = 44,274.49

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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.