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Finding the Fourth Proportional to 114,951.97, 172,428.03 and 31,845.97

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Solution

The fourth proportional to 114,951.97, 172,428.03 and 31,845.97 is: 47,768.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,951.97 : 172,428.03 = 31,845.97 : x
  2. Step 2: Convert to fraction form
    114,951.97/172,428.03 = 31,845.97/x
  3. Step 3: Cross multiply
    114,951.97x = 172,428.03 × 31,845.97
  4. Step 4: Simplify right side
    114,951.97x = 5,491,137,711.31
  5. Step 5: Solve for x
    x = 5,491,137,711.31/114,951.97
  6. Step 6: Final answer
    x = 47,768.97

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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.