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Finding the Fourth Proportional to 64,004.31, 95,914.97 and 47,003.97

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Solution

The fourth proportional to 64,004.31, 95,914.97 and 47,003.97 is: 70,438.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,004.31 : 95,914.97 = 47,003.97 : x
  2. Step 2: Convert to fraction form
    64,004.31/95,914.97 = 47,003.97/x
  3. Step 3: Cross multiply
    64,004.31x = 95,914.97 × 47,003.97
  4. Step 4: Simplify right side
    64,004.31x = 4,508,384,137.41
  5. Step 5: Solve for x
    x = 4,508,384,137.41/64,004.31
  6. Step 6: Final answer
    x = 70,438.76

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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.