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Finding the Fourth Proportional to 96,796.69, 133,581.03 and 53,778.98

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Solution

The fourth proportional to 96,796.69, 133,581.03 and 53,778.98 is: 74,215.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,796.69 : 133,581.03 = 53,778.98 : x
  2. Step 2: Convert to fraction form
    96,796.69/133,581.03 = 53,778.98/x
  3. Step 3: Cross multiply
    96,796.69x = 133,581.03 × 53,778.98
  4. Step 4: Simplify right side
    96,796.69x = 7,183,851,540.75
  5. Step 5: Solve for x
    x = 7,183,851,540.75/96,796.69
  6. Step 6: Final answer
    x = 74,215.88

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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.