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Finding the Fourth Proportional to 29,713.44, 44,598 and 15,683.88

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Solution

The fourth proportional to 29,713.44, 44,598 and 15,683.88 is: 23,540.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,713.44 : 44,598 = 15,683.88 : x
  2. Step 2: Convert to fraction form
    29,713.44/44,598 = 15,683.88/x
  3. Step 3: Cross multiply
    29,713.44x = 44,598 × 15,683.88
  4. Step 4: Simplify right side
    29,713.44x = 699,469,680.24
  5. Step 5: Solve for x
    x = 699,469,680.24/29,713.44
  6. Step 6: Final answer
    x = 23,540.52

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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.