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Finding the Fourth Proportional to 31,469.92, 47,213.04 and 11,748.64

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Solution

The fourth proportional to 31,469.92, 47,213.04 and 11,748.64 is: 17,626.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,469.92 : 47,213.04 = 11,748.64 : x
  2. Step 2: Convert to fraction form
    31,469.92/47,213.04 = 11,748.64/x
  3. Step 3: Cross multiply
    31,469.92x = 47,213.04 × 11,748.64
  4. Step 4: Simplify right side
    31,469.92x = 554,689,010.27
  5. Step 5: Solve for x
    x = 554,689,010.27/31,469.92
  6. Step 6: Final answer
    x = 17,626.01

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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.