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Finding the Fourth Proportional to 72,671.34, 109,003.94 and 25,297.22

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Solution

The fourth proportional to 72,671.34, 109,003.94 and 25,297.22 is: 37,944.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,671.34 : 109,003.94 = 25,297.22 : x
  2. Step 2: Convert to fraction form
    72,671.34/109,003.94 = 25,297.22/x
  3. Step 3: Cross multiply
    72,671.34x = 109,003.94 × 25,297.22
  4. Step 4: Simplify right side
    72,671.34x = 2,757,496,651.05
  5. Step 5: Solve for x
    x = 2,757,496,651.05/72,671.34
  6. Step 6: Final answer
    x = 37,944.76

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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.