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Finding the Fourth Proportional to 64,469.70, 96,646.23 and 22,906.98

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Solution

The fourth proportional to 64,469.70, 96,646.23 and 22,906.98 is: 34,339.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,469.70 : 96,646.23 = 22,906.98 : x
  2. Step 2: Convert to fraction form
    64,469.70/96,646.23 = 22,906.98/x
  3. Step 3: Cross multiply
    64,469.70x = 96,646.23 × 22,906.98
  4. Step 4: Simplify right side
    64,469.70x = 2,213,873,257.69
  5. Step 5: Solve for x
    x = 2,213,873,257.69/64,469.70
  6. Step 6: Final answer
    x = 34,339.75

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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.