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Finding the Fourth Proportional to 96,224.97, 144,300.56 and 33,033.32

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Solution

The fourth proportional to 96,224.97, 144,300.56 and 33,033.32 is: 49,537.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,224.97 : 144,300.56 = 33,033.32 : x
  2. Step 2: Convert to fraction form
    96,224.97/144,300.56 = 33,033.32/x
  3. Step 3: Cross multiply
    96,224.97x = 144,300.56 × 33,033.32
  4. Step 4: Simplify right side
    96,224.97x = 4,766,725,687.99
  5. Step 5: Solve for x
    x = 4,766,725,687.99/96,224.97
  6. Step 6: Final answer
    x = 49,537.31

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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.