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Finding the Fourth Proportional to 52,119.82, 78,179.73 and 12,676.96

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Solution

The fourth proportional to 52,119.82, 78,179.73 and 12,676.96 is: 19,015.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,119.82 : 78,179.73 = 12,676.96 : x
  2. Step 2: Convert to fraction form
    52,119.82/78,179.73 = 12,676.96/x
  3. Step 3: Cross multiply
    52,119.82x = 78,179.73 × 12,676.96
  4. Step 4: Simplify right side
    52,119.82x = 991,081,310.02
  5. Step 5: Solve for x
    x = 991,081,310.02/52,119.82
  6. Step 6: Final answer
    x = 19,015.44

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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.