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Finding the Fourth Proportional to 31,469.53, 47,204.92 and 11,744.15

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Solution

The fourth proportional to 31,469.53, 47,204.92 and 11,744.15 is: 17,616.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,469.53 : 47,204.92 = 11,744.15 : x
  2. Step 2: Convert to fraction form
    31,469.53/47,204.92 = 11,744.15/x
  3. Step 3: Cross multiply
    31,469.53x = 47,204.92 × 11,744.15
  4. Step 4: Simplify right side
    31,469.53x = 554,381,661.22
  5. Step 5: Solve for x
    x = 554,381,661.22/31,469.53
  6. Step 6: Final answer
    x = 17,616.46

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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.