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Finding the Fourth Proportional to 72,829, 109,249.43 and 20,238.49

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Solution

The fourth proportional to 72,829, 109,249.43 and 20,238.49 is: 30,359.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,829 : 109,249.43 = 20,238.49 : x
  2. Step 2: Convert to fraction form
    72,829/109,249.43 = 20,238.49/x
  3. Step 3: Cross multiply
    72,829x = 109,249.43 × 20,238.49
  4. Step 4: Simplify right side
    72,829x = 2,211,043,496.56
  5. Step 5: Solve for x
    x = 2,211,043,496.56/72,829
  6. Step 6: Final answer
    x = 30,359.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.