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Finding the Fourth Proportional to 96,187.08, 144,266.04 and 33,843

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Solution

The fourth proportional to 96,187.08, 144,266.04 and 33,843 is: 50,759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,187.08 : 144,266.04 = 33,843 : x
  2. Step 2: Convert to fraction form
    96,187.08/144,266.04 = 33,843/x
  3. Step 3: Cross multiply
    96,187.08x = 144,266.04 × 33,843
  4. Step 4: Simplify right side
    96,187.08x = 4,882,395,591.72
  5. Step 5: Solve for x
    x = 4,882,395,591.72/96,187.08
  6. Step 6: Final answer
    x = 50,759.37

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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.