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Finding the Fourth Proportional to 96,954.84, 133,786.89 and 54,512.46

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Solution

The fourth proportional to 96,954.84, 133,786.89 and 54,512.46 is: 75,221.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,954.84 : 133,786.89 = 54,512.46 : x
  2. Step 2: Convert to fraction form
    96,954.84/133,786.89 = 54,512.46/x
  3. Step 3: Cross multiply
    96,954.84x = 133,786.89 × 54,512.46
  4. Step 4: Simplify right side
    96,954.84x = 7,293,052,489.65
  5. Step 5: Solve for x
    x = 7,293,052,489.65/96,954.84
  6. Step 6: Final answer
    x = 75,221.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.