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Finding the Fourth Proportional to 29,400, 44,100.24 and 10,932

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Solution

The fourth proportional to 29,400, 44,100.24 and 10,932 is: 16,398.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,400 : 44,100.24 = 10,932 : x
  2. Step 2: Convert to fraction form
    29,400/44,100.24 = 10,932/x
  3. Step 3: Cross multiply
    29,400x = 44,100.24 × 10,932
  4. Step 4: Simplify right side
    29,400x = 482,103,823.68
  5. Step 5: Solve for x
    x = 482,103,823.68/29,400
  6. Step 6: Final answer
    x = 16,398.09

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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.