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Finding the Fourth Proportional to 99,843.75, 149,634.36 and 49,270.59

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Solution

The fourth proportional to 99,843.75, 149,634.36 and 49,270.59 is: 73,841.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,843.75 : 149,634.36 = 49,270.59 : x
  2. Step 2: Convert to fraction form
    99,843.75/149,634.36 = 49,270.59/x
  3. Step 3: Cross multiply
    99,843.75x = 149,634.36 × 49,270.59
  4. Step 4: Simplify right side
    99,843.75x = 7,372,573,201.47
  5. Step 5: Solve for x
    x = 7,372,573,201.47/99,843.75
  6. Step 6: Final answer
    x = 73,841.11

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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.