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Finding the Fourth Proportional to 100,387.22, 150,576.50 and 33,827.09

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Solution

The fourth proportional to 100,387.22, 150,576.50 and 33,827.09 is: 50,739.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,387.22 : 150,576.50 = 33,827.09 : x
  2. Step 2: Convert to fraction form
    100,387.22/150,576.50 = 33,827.09/x
  3. Step 3: Cross multiply
    100,387.22x = 150,576.50 × 33,827.09
  4. Step 4: Simplify right side
    100,387.22x = 5,093,563,895.37
  5. Step 5: Solve for x
    x = 5,093,563,895.37/100,387.22
  6. Step 6: Final answer
    x = 50,739.17

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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.