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Finding the Fourth Proportional to 29,782.92, 44,661.27 and 13,992.44

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Solution

The fourth proportional to 29,782.92, 44,661.27 and 13,992.44 is: 20,982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,782.92 : 44,661.27 = 13,992.44 : x
  2. Step 2: Convert to fraction form
    29,782.92/44,661.27 = 13,992.44/x
  3. Step 3: Cross multiply
    29,782.92x = 44,661.27 × 13,992.44
  4. Step 4: Simplify right side
    29,782.92x = 624,920,195.44
  5. Step 5: Solve for x
    x = 624,920,195.44/29,782.92
  6. Step 6: Final answer
    x = 20,982.50

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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.