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Finding the Fourth Proportional to 96,207.93, 144,314.06 and 33,027.57

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Solution

The fourth proportional to 96,207.93, 144,314.06 and 33,027.57 is: 49,542.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,207.93 : 144,314.06 = 33,027.57 : x
  2. Step 2: Convert to fraction form
    96,207.93/144,314.06 = 33,027.57/x
  3. Step 3: Cross multiply
    96,207.93x = 144,314.06 × 33,027.57
  4. Step 4: Simplify right side
    96,207.93x = 4,766,342,553.50
  5. Step 5: Solve for x
    x = 4,766,342,553.50/96,207.93
  6. Step 6: Final answer
    x = 49,542.10

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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.