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Finding the Fourth Proportional to 97,843.70, 146,693.82 and 31,245.44

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Solution

The fourth proportional to 97,843.70, 146,693.82 and 31,245.44 is: 46,845.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,843.70 : 146,693.82 = 31,245.44 : x
  2. Step 2: Convert to fraction form
    97,843.70/146,693.82 = 31,245.44/x
  3. Step 3: Cross multiply
    97,843.70x = 146,693.82 × 31,245.44
  4. Step 4: Simplify right side
    97,843.70x = 4,583,512,951.18
  5. Step 5: Solve for x
    x = 4,583,512,951.18/97,843.70
  6. Step 6: Final answer
    x = 46,845.25

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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.