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Finding the Fourth Proportional to 51,912.87, 71,670.88 and 34,039.05

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Solution

The fourth proportional to 51,912.87, 71,670.88 and 34,039.05 is: 46,994.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,912.87 : 71,670.88 = 34,039.05 : x
  2. Step 2: Convert to fraction form
    51,912.87/71,670.88 = 34,039.05/x
  3. Step 3: Cross multiply
    51,912.87x = 71,670.88 × 34,039.05
  4. Step 4: Simplify right side
    51,912.87x = 2,439,608,653.33
  5. Step 5: Solve for x
    x = 2,439,608,653.33/51,912.87
  6. Step 6: Final answer
    x = 46,994.30

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Why These Related Problems?

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