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Finding the Fourth Proportional to 64,906.12, 97,274.34 and 33,289.48

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Solution

The fourth proportional to 64,906.12, 97,274.34 and 33,289.48 is: 49,890.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,906.12 : 97,274.34 = 33,289.48 : x
  2. Step 2: Convert to fraction form
    64,906.12/97,274.34 = 33,289.48/x
  3. Step 3: Cross multiply
    64,906.12x = 97,274.34 × 33,289.48
  4. Step 4: Simplify right side
    64,906.12x = 3,238,212,195.94
  5. Step 5: Solve for x
    x = 3,238,212,195.94/64,906.12
  6. Step 6: Final answer
    x = 49,890.71

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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.