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Finding the Fourth Proportional to 100,635.83, 150,945.03 and 34,074.48

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Solution

The fourth proportional to 100,635.83, 150,945.03 and 34,074.48 is: 51,108.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,635.83 : 150,945.03 = 34,074.48 : x
  2. Step 2: Convert to fraction form
    100,635.83/150,945.03 = 34,074.48/x
  3. Step 3: Cross multiply
    100,635.83x = 150,945.03 × 34,074.48
  4. Step 4: Simplify right side
    100,635.83x = 5,143,373,405.83
  5. Step 5: Solve for x
    x = 5,143,373,405.83/100,635.83
  6. Step 6: Final answer
    x = 51,108.77

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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.