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Finding the Fourth Proportional to 29,324.71, 43,951.81 and 13,508

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Solution

The fourth proportional to 29,324.71, 43,951.81 and 13,508 is: 20,245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,324.71 : 43,951.81 = 13,508 : x
  2. Step 2: Convert to fraction form
    29,324.71/43,951.81 = 13,508/x
  3. Step 3: Cross multiply
    29,324.71x = 43,951.81 × 13,508
  4. Step 4: Simplify right side
    29,324.71x = 593,701,049.48
  5. Step 5: Solve for x
    x = 593,701,049.48/29,324.71
  6. Step 6: Final answer
    x = 20,245.76

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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.