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Finding the Fourth Proportional to 70,676.60, 106,014.96 and 33,209.19

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Solution

The fourth proportional to 70,676.60, 106,014.96 and 33,209.19 is: 49,813.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,676.60 : 106,014.96 = 33,209.19 : x
  2. Step 2: Convert to fraction form
    70,676.60/106,014.96 = 33,209.19/x
  3. Step 3: Cross multiply
    70,676.60x = 106,014.96 × 33,209.19
  4. Step 4: Simplify right side
    70,676.60x = 3,520,670,949.48
  5. Step 5: Solve for x
    x = 3,520,670,949.48/70,676.60
  6. Step 6: Final answer
    x = 49,813.82

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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.