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Finding the Fourth Proportional to 64,469.33, 96,723.79 and 30,778.34

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Solution

The fourth proportional to 64,469.33, 96,723.79 and 30,778.34 is: 46,176.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,469.33 : 96,723.79 = 30,778.34 : x
  2. Step 2: Convert to fraction form
    64,469.33/96,723.79 = 30,778.34/x
  3. Step 3: Cross multiply
    64,469.33x = 96,723.79 × 30,778.34
  4. Step 4: Simplify right side
    64,469.33x = 2,976,997,134.14
  5. Step 5: Solve for x
    x = 2,976,997,134.14/64,469.33
  6. Step 6: Final answer
    x = 46,176.95

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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.