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Finding the Fourth Proportional to 117,286.84, 175,930.94 and 33,047.70

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Solution

The fourth proportional to 117,286.84, 175,930.94 and 33,047.70 is: 49,571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,286.84 : 175,930.94 = 33,047.70 : x
  2. Step 2: Convert to fraction form
    117,286.84/175,930.94 = 33,047.70/x
  3. Step 3: Cross multiply
    117,286.84x = 175,930.94 × 33,047.70
  4. Step 4: Simplify right side
    117,286.84x = 5,814,112,162.82
  5. Step 5: Solve for x
    x = 5,814,112,162.82/117,286.84
  6. Step 6: Final answer
    x = 49,571.74

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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.