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Finding the Fourth Proportional to 77,556.96, 116,305.20 and 33,204.96

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Solution

The fourth proportional to 77,556.96, 116,305.20 and 33,204.96 is: 49,794.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,556.96 : 116,305.20 = 33,204.96 : x
  2. Step 2: Convert to fraction form
    77,556.96/116,305.20 = 33,204.96/x
  3. Step 3: Cross multiply
    77,556.96x = 116,305.20 × 33,204.96
  4. Step 4: Simplify right side
    77,556.96x = 3,861,909,513.79
  5. Step 5: Solve for x
    x = 3,861,909,513.79/77,556.96
  6. Step 6: Final answer
    x = 49,794.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.