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Finding the Fourth Proportional to 39,578.29, 59,370.51 and 11,498.80

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Solution

The fourth proportional to 39,578.29, 59,370.51 and 11,498.80 is: 17,249.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,578.29 : 59,370.51 = 11,498.80 : x
  2. Step 2: Convert to fraction form
    39,578.29/59,370.51 = 11,498.80/x
  3. Step 3: Cross multiply
    39,578.29x = 59,370.51 × 11,498.80
  4. Step 4: Simplify right side
    39,578.29x = 682,689,620.39
  5. Step 5: Solve for x
    x = 682,689,620.39/39,578.29
  6. Step 6: Final answer
    x = 17,249.09

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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.