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Finding the Fourth Proportional to 71,108.70, 106,682.83 and 31,120.56

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Solution

The fourth proportional to 71,108.70, 106,682.83 and 31,120.56 is: 46,689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,108.70 : 106,682.83 = 31,120.56 : x
  2. Step 2: Convert to fraction form
    71,108.70/106,682.83 = 31,120.56/x
  3. Step 3: Cross multiply
    71,108.70x = 106,682.83 × 31,120.56
  4. Step 4: Simplify right side
    71,108.70x = 3,320,029,411.98
  5. Step 5: Solve for x
    x = 3,320,029,411.98/71,108.70
  6. Step 6: Final answer
    x = 46,689.50

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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.