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Finding the Fourth Proportional to 96,384.78, 133,024.96 and 55,540.96

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Solution

The fourth proportional to 96,384.78, 133,024.96 and 55,540.96 is: 76,654.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,384.78 : 133,024.96 = 55,540.96 : x
  2. Step 2: Convert to fraction form
    96,384.78/133,024.96 = 55,540.96/x
  3. Step 3: Cross multiply
    96,384.78x = 133,024.96 × 55,540.96
  4. Step 4: Simplify right side
    96,384.78x = 7,388,333,982.36
  5. Step 5: Solve for x
    x = 7,388,333,982.36/96,384.78
  6. Step 6: Final answer
    x = 76,654.57

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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.