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Finding the Fourth Proportional to 31,469.59, 47,205.02 and 11,744.21

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Solution

The fourth proportional to 31,469.59, 47,205.02 and 11,744.21 is: 17,616.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,469.59 : 47,205.02 = 11,744.21 : x
  2. Step 2: Convert to fraction form
    31,469.59/47,205.02 = 11,744.21/x
  3. Step 3: Cross multiply
    31,469.59x = 47,205.02 × 11,744.21
  4. Step 4: Simplify right side
    31,469.59x = 554,385,727.23
  5. Step 5: Solve for x
    x = 554,385,727.23/31,469.59
  6. Step 6: Final answer
    x = 17,616.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.