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Finding the Fourth Proportional to 75,816, 113,724 and 26,568

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Solution

The fourth proportional to 75,816, 113,724 and 26,568 is: 39,852

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,816 : 113,724 = 26,568 : x
  2. Step 2: Convert to fraction form
    75,816/113,724 = 26,568/x
  3. Step 3: Cross multiply
    75,816x = 113,724 × 26,568
  4. Step 4: Simplify right side
    75,816x = 3,021,419,232
  5. Step 5: Solve for x
    x = 3,021,419,232/75,816
  6. Step 6: Final answer
    x = 39,852

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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.