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Finding the Fourth Proportional to 117,893.76, 176,834.88 and 44,016

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Solution

The fourth proportional to 117,893.76, 176,834.88 and 44,016 is: 66,021.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,893.76 : 176,834.88 = 44,016 : x
  2. Step 2: Convert to fraction form
    117,893.76/176,834.88 = 44,016/x
  3. Step 3: Cross multiply
    117,893.76x = 176,834.88 × 44,016
  4. Step 4: Simplify right side
    117,893.76x = 7,783,564,078.08
  5. Step 5: Solve for x
    x = 7,783,564,078.08/117,893.76
  6. Step 6: Final answer
    x = 66,021.85

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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.