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Finding the Fourth Proportional to 70,821.57, 106,249.52 and 20,900.57

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Solution

The fourth proportional to 70,821.57, 106,249.52 and 20,900.57 is: 31,355.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,821.57 : 106,249.52 = 20,900.57 : x
  2. Step 2: Convert to fraction form
    70,821.57/106,249.52 = 20,900.57/x
  3. Step 3: Cross multiply
    70,821.57x = 106,249.52 × 20,900.57
  4. Step 4: Simplify right side
    70,821.57x = 2,220,675,530.23
  5. Step 5: Solve for x
    x = 2,220,675,530.23/70,821.57
  6. Step 6: Final answer
    x = 31,355.92

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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.