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Finding the Fourth Proportional to 117,409.86, 176,105.43 and 33,166.62

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Solution

The fourth proportional to 117,409.86, 176,105.43 and 33,166.62 is: 49,747.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,409.86 : 176,105.43 = 33,166.62 : x
  2. Step 2: Convert to fraction form
    117,409.86/176,105.43 = 33,166.62/x
  3. Step 3: Cross multiply
    117,409.86x = 176,105.43 × 33,166.62
  4. Step 4: Simplify right side
    117,409.86x = 5,840,821,876.75
  5. Step 5: Solve for x
    x = 5,840,821,876.75/117,409.86
  6. Step 6: Final answer
    x = 49,747.29

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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.