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Finding the Fourth Proportional to 97,650.65, 146,469.69 and 31,138.44

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Solution

The fourth proportional to 97,650.65, 146,469.69 and 31,138.44 is: 46,705.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,650.65 : 146,469.69 = 31,138.44 : x
  2. Step 2: Convert to fraction form
    97,650.65/146,469.69 = 31,138.44/x
  3. Step 3: Cross multiply
    97,650.65x = 146,469.69 × 31,138.44
  4. Step 4: Simplify right side
    97,650.65x = 4,560,837,653.88
  5. Step 5: Solve for x
    x = 4,560,837,653.88/97,650.65
  6. Step 6: Final answer
    x = 46,705.66

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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.