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Finding the Fourth Proportional to 72,594.26, 108,906.78 and 25,847

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Solution

The fourth proportional to 72,594.26, 108,906.78 and 25,847 is: 38,775.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,594.26 : 108,906.78 = 25,847 : x
  2. Step 2: Convert to fraction form
    72,594.26/108,906.78 = 25,847/x
  3. Step 3: Cross multiply
    72,594.26x = 108,906.78 × 25,847
  4. Step 4: Simplify right side
    72,594.26x = 2,814,913,542.66
  5. Step 5: Solve for x
    x = 2,814,913,542.66/72,594.26
  6. Step 6: Final answer
    x = 38,775.98

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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.