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Finding the Fourth Proportional to 54,142.70, 81,214.06 and 29,194.50

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Solution

The fourth proportional to 54,142.70, 81,214.06 and 29,194.50 is: 43,791.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,142.70 : 81,214.06 = 29,194.50 : x
  2. Step 2: Convert to fraction form
    54,142.70/81,214.06 = 29,194.50/x
  3. Step 3: Cross multiply
    54,142.70x = 81,214.06 × 29,194.50
  4. Step 4: Simplify right side
    54,142.70x = 2,371,003,874.67
  5. Step 5: Solve for x
    x = 2,371,003,874.67/54,142.70
  6. Step 6: Final answer
    x = 43,791.76

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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.