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Finding the Fourth Proportional to 72,593.26, 108,905.28 and 25,846

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Solution

The fourth proportional to 72,593.26, 108,905.28 and 25,846 is: 38,774.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,593.26 : 108,905.28 = 25,846 : x
  2. Step 2: Convert to fraction form
    72,593.26/108,905.28 = 25,846/x
  3. Step 3: Cross multiply
    72,593.26x = 108,905.28 × 25,846
  4. Step 4: Simplify right side
    72,593.26x = 2,814,765,866.88
  5. Step 5: Solve for x
    x = 2,814,765,866.88/72,593.26
  6. Step 6: Final answer
    x = 38,774.48

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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.