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Finding the Fourth Proportional to 50,796.30, 76,083.86 and 31,014.88

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Solution

The fourth proportional to 50,796.30, 76,083.86 and 31,014.88 is: 46,454.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,796.30 : 76,083.86 = 31,014.88 : x
  2. Step 2: Convert to fraction form
    50,796.30/76,083.86 = 31,014.88/x
  3. Step 3: Cross multiply
    50,796.30x = 76,083.86 × 31,014.88
  4. Step 4: Simplify right side
    50,796.30x = 2,359,731,787.84
  5. Step 5: Solve for x
    x = 2,359,731,787.84/50,796.30
  6. Step 6: Final answer
    x = 46,454.80

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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.