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Finding the Fourth Proportional to 109,745.91, 164,619.52 and 33,843.40

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Solution

The fourth proportional to 109,745.91, 164,619.52 and 33,843.40 is: 50,765.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,745.91 : 164,619.52 = 33,843.40 : x
  2. Step 2: Convert to fraction form
    109,745.91/164,619.52 = 33,843.40/x
  3. Step 3: Cross multiply
    109,745.91x = 164,619.52 × 33,843.40
  4. Step 4: Simplify right side
    109,745.91x = 5,571,283,767.01
  5. Step 5: Solve for x
    x = 5,571,283,767.01/109,745.91
  6. Step 6: Final answer
    x = 50,765.30

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1.5x scale

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.