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Finding the Fourth Proportional to 100,507.83, 150,729.74 and 33,024.20

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Solution

The fourth proportional to 100,507.83, 150,729.74 and 33,024.20 is: 49,525.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,507.83 : 150,729.74 = 33,024.20 : x
  2. Step 2: Convert to fraction form
    100,507.83/150,729.74 = 33,024.20/x
  3. Step 3: Cross multiply
    100,507.83x = 150,729.74 × 33,024.20
  4. Step 4: Simplify right side
    100,507.83x = 4,977,728,470.54
  5. Step 5: Solve for x
    x = 4,977,728,470.54/100,507.83
  6. Step 6: Final answer
    x = 49,525.78

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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.