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Finding the Fourth Proportional to 116,261, 174,393.14 and 33,155

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Solution

The fourth proportional to 116,261, 174,393.14 and 33,155 is: 49,732.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,261 : 174,393.14 = 33,155 : x
  2. Step 2: Convert to fraction form
    116,261/174,393.14 = 33,155/x
  3. Step 3: Cross multiply
    116,261x = 174,393.14 × 33,155
  4. Step 4: Simplify right side
    116,261x = 5,782,004,556.70
  5. Step 5: Solve for x
    x = 5,782,004,556.70/116,261
  6. Step 6: Final answer
    x = 49,732.97

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Why These Related Problems?

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