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Finding the Fourth Proportional to 100,553.68, 150,849.04 and 33,089.48

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Solution

The fourth proportional to 100,553.68, 150,849.04 and 33,089.48 is: 49,640.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,553.68 : 150,849.04 = 33,089.48 : x
  2. Step 2: Convert to fraction form
    100,553.68/150,849.04 = 33,089.48/x
  3. Step 3: Cross multiply
    100,553.68x = 150,849.04 × 33,089.48
  4. Step 4: Simplify right side
    100,553.68x = 4,991,516,292.10
  5. Step 5: Solve for x
    x = 4,991,516,292.10/100,553.68
  6. Step 6: Final answer
    x = 49,640.31

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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.