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Finding the Fourth Proportional to 44,400, 66,600 and 11,568

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Solution

The fourth proportional to 44,400, 66,600 and 11,568 is: 17,352

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,400 : 66,600 = 11,568 : x
  2. Step 2: Convert to fraction form
    44,400/66,600 = 11,568/x
  3. Step 3: Cross multiply
    44,400x = 66,600 × 11,568
  4. Step 4: Simplify right side
    44,400x = 770,428,800
  5. Step 5: Solve for x
    x = 770,428,800/44,400
  6. Step 6: Final answer
    x = 17,352

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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.