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Finding the Fourth Proportional to 117,954.63, 176,942.88 and 33,713.82

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Solution

The fourth proportional to 117,954.63, 176,942.88 and 33,713.82 is: 50,573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,954.63 : 176,942.88 = 33,713.82 : x
  2. Step 2: Convert to fraction form
    117,954.63/176,942.88 = 33,713.82/x
  3. Step 3: Cross multiply
    117,954.63x = 176,942.88 × 33,713.82
  4. Step 4: Simplify right side
    117,954.63x = 5,965,420,406.60
  5. Step 5: Solve for x
    x = 5,965,420,406.60/117,954.63
  6. Step 6: Final answer
    x = 50,573.86

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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.