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Finding the Fourth Proportional to 67,408.36, 101,126.94 and 25,855

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Solution

The fourth proportional to 67,408.36, 101,126.94 and 25,855 is: 38,788.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,408.36 : 101,126.94 = 25,855 : x
  2. Step 2: Convert to fraction form
    67,408.36/101,126.94 = 25,855/x
  3. Step 3: Cross multiply
    67,408.36x = 101,126.94 × 25,855
  4. Step 4: Simplify right side
    67,408.36x = 2,614,637,033.70
  5. Step 5: Solve for x
    x = 2,614,637,033.70/67,408.36
  6. Step 6: Final answer
    x = 38,788.02

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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.