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Finding the Fourth Proportional to 50,846.44, 76,264.80 and 31,114.84

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Solution

The fourth proportional to 50,846.44, 76,264.80 and 31,114.84 is: 46,669.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,846.44 : 76,264.80 = 31,114.84 : x
  2. Step 2: Convert to fraction form
    50,846.44/76,264.80 = 31,114.84/x
  3. Step 3: Cross multiply
    50,846.44x = 76,264.80 × 31,114.84
  4. Step 4: Simplify right side
    50,846.44x = 2,372,967,049.63
  5. Step 5: Solve for x
    x = 2,372,967,049.63/50,846.44
  6. Step 6: Final answer
    x = 46,669.29

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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.