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Finding the Fourth Proportional to 64,170, 96,293.88 and 27,234

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Solution

The fourth proportional to 64,170, 96,293.88 and 27,234 is: 40,867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,170 : 96,293.88 = 27,234 : x
  2. Step 2: Convert to fraction form
    64,170/96,293.88 = 27,234/x
  3. Step 3: Cross multiply
    64,170x = 96,293.88 × 27,234
  4. Step 4: Simplify right side
    64,170x = 2,622,467,527.92
  5. Step 5: Solve for x
    x = 2,622,467,527.92/64,170
  6. Step 6: Final answer
    x = 40,867.50

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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.