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Finding the Fourth Proportional to 117,518, 176,286.24 and 33,276.80

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Solution

The fourth proportional to 117,518, 176,286.24 and 33,276.80 is: 49,917.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,518 : 176,286.24 = 33,276.80 : x
  2. Step 2: Convert to fraction form
    117,518/176,286.24 = 33,276.80/x
  3. Step 3: Cross multiply
    117,518x = 176,286.24 × 33,276.80
  4. Step 4: Simplify right side
    117,518x = 5,866,241,951.23
  5. Step 5: Solve for x
    x = 5,866,241,951.23/117,518
  6. Step 6: Final answer
    x = 49,917.82

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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.