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Finding the Fourth Proportional to 51,198.70, 70,657.44 and 31,057.48

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Solution

The fourth proportional to 51,198.70, 70,657.44 and 31,057.48 is: 42,861.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,198.70 : 70,657.44 = 31,057.48 : x
  2. Step 2: Convert to fraction form
    51,198.70/70,657.44 = 31,057.48/x
  3. Step 3: Cross multiply
    51,198.70x = 70,657.44 × 31,057.48
  4. Step 4: Simplify right side
    51,198.70x = 2,194,442,029.65
  5. Step 5: Solve for x
    x = 2,194,442,029.65/51,198.70
  6. Step 6: Final answer
    x = 42,861.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.