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Finding the Fourth Proportional to 31,469.65, 47,205.11 and 11,744.27

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Solution

The fourth proportional to 31,469.65, 47,205.11 and 11,744.27 is: 17,616.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,469.65 : 47,205.11 = 11,744.27 : x
  2. Step 2: Convert to fraction form
    31,469.65/47,205.11 = 11,744.27/x
  3. Step 3: Cross multiply
    31,469.65x = 47,205.11 × 11,744.27
  4. Step 4: Simplify right side
    31,469.65x = 554,389,557.22
  5. Step 5: Solve for x
    x = 554,389,557.22/31,469.65
  6. Step 6: Final answer
    x = 17,616.64

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1.5x scale

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.