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Finding the Fourth Proportional to 29,794.33, 44,669.85 and 13,991.23

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Solution

The fourth proportional to 29,794.33, 44,669.85 and 13,991.23 is: 20,976.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,794.33 : 44,669.85 = 13,991.23 : x
  2. Step 2: Convert to fraction form
    29,794.33/44,669.85 = 13,991.23/x
  3. Step 3: Cross multiply
    29,794.33x = 44,669.85 × 13,991.23
  4. Step 4: Simplify right side
    29,794.33x = 624,986,148.79
  5. Step 5: Solve for x
    x = 624,986,148.79/29,794.33
  6. Step 6: Final answer
    x = 20,976.68

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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.