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Finding the Fourth Proportional to 72,094.86, 108,105.37 and 38,380.03

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Solution

The fourth proportional to 72,094.86, 108,105.37 and 38,380.03 is: 57,550.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,094.86 : 108,105.37 = 38,380.03 : x
  2. Step 2: Convert to fraction form
    72,094.86/108,105.37 = 38,380.03/x
  3. Step 3: Cross multiply
    72,094.86x = 108,105.37 × 38,380.03
  4. Step 4: Simplify right side
    72,094.86x = 4,149,086,977.55
  5. Step 5: Solve for x
    x = 4,149,086,977.55/72,094.86
  6. Step 6: Final answer
    x = 57,550.39

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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.