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Finding the Fourth Proportional to 39,568, 59,352 and 11,866

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Solution

The fourth proportional to 39,568, 59,352 and 11,866 is: 17,799

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,568 : 59,352 = 11,866 : x
  2. Step 2: Convert to fraction form
    39,568/59,352 = 11,866/x
  3. Step 3: Cross multiply
    39,568x = 59,352 × 11,866
  4. Step 4: Simplify right side
    39,568x = 704,270,832
  5. Step 5: Solve for x
    x = 704,270,832/39,568
  6. Step 6: Final answer
    x = 17,799

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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.