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Finding the Fourth Proportional to 70,788.18, 106,150.50 and 20,850.78

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Solution

The fourth proportional to 70,788.18, 106,150.50 and 20,850.78 is: 31,266.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,788.18 : 106,150.50 = 20,850.78 : x
  2. Step 2: Convert to fraction form
    70,788.18/106,150.50 = 20,850.78/x
  3. Step 3: Cross multiply
    70,788.18x = 106,150.50 × 20,850.78
  4. Step 4: Simplify right side
    70,788.18x = 2,213,320,722.39
  5. Step 5: Solve for x
    x = 2,213,320,722.39/70,788.18
  6. Step 6: Final answer
    x = 31,266.81

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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.