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Finding the Fourth Proportional to 100,633.88, 150,857.06 and 34,027.44

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Solution

The fourth proportional to 100,633.88, 150,857.06 and 34,027.44 is: 51,009.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,633.88 : 150,857.06 = 34,027.44 : x
  2. Step 2: Convert to fraction form
    100,633.88/150,857.06 = 34,027.44/x
  3. Step 3: Cross multiply
    100,633.88x = 150,857.06 × 34,027.44
  4. Step 4: Simplify right side
    100,633.88x = 5,133,279,387.59
  5. Step 5: Solve for x
    x = 5,133,279,387.59/100,633.88
  6. Step 6: Final answer
    x = 51,009.46

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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.