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Finding the Fourth Proportional to 67,825.50, 101,738.25 and 26,272.50

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Solution

The fourth proportional to 67,825.50, 101,738.25 and 26,272.50 is: 39,408.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,825.50 : 101,738.25 = 26,272.50 : x
  2. Step 2: Convert to fraction form
    67,825.50/101,738.25 = 26,272.50/x
  3. Step 3: Cross multiply
    67,825.50x = 101,738.25 × 26,272.50
  4. Step 4: Simplify right side
    67,825.50x = 2,672,918,173.13
  5. Step 5: Solve for x
    x = 2,672,918,173.13/67,825.50
  6. Step 6: Final answer
    x = 39,408.75

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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.