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Finding the Fourth Proportional to 37,908, 52,311.96 and 20,912.31

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Solution

The fourth proportional to 37,908, 52,311.96 and 20,912.31 is: 28,858.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,908 : 52,311.96 = 20,912.31 : x
  2. Step 2: Convert to fraction form
    37,908/52,311.96 = 20,912.31/x
  3. Step 3: Cross multiply
    37,908x = 52,311.96 × 20,912.31
  4. Step 4: Simplify right side
    37,908x = 1,093,963,924.23
  5. Step 5: Solve for x
    x = 1,093,963,924.23/37,908
  6. Step 6: Final answer
    x = 28,858.39

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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.