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Finding the Fourth Proportional to 96,456.48, 133,112.88 and 54,016.80

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Solution

The fourth proportional to 96,456.48, 133,112.88 and 54,016.80 is: 74,544.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,456.48 : 133,112.88 = 54,016.80 : x
  2. Step 2: Convert to fraction form
    96,456.48/133,112.88 = 54,016.80/x
  3. Step 3: Cross multiply
    96,456.48x = 133,112.88 × 54,016.80
  4. Step 4: Simplify right side
    96,456.48x = 7,190,331,816.38
  5. Step 5: Solve for x
    x = 7,190,331,816.38/96,456.48
  6. Step 6: Final answer
    x = 74,544.83

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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.