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Finding the Fourth Proportional to 43,568, 65,352 and 10,736

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Solution

The fourth proportional to 43,568, 65,352 and 10,736 is: 16,104

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,568 : 65,352 = 10,736 : x
  2. Step 2: Convert to fraction form
    43,568/65,352 = 10,736/x
  3. Step 3: Cross multiply
    43,568x = 65,352 × 10,736
  4. Step 4: Simplify right side
    43,568x = 701,619,072
  5. Step 5: Solve for x
    x = 701,619,072/43,568
  6. Step 6: Final answer
    x = 16,104

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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.