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Finding the Fourth Proportional to 50,687.44, 75,842.83 and 31,879.65

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Solution

The fourth proportional to 50,687.44, 75,842.83 and 31,879.65 is: 47,701.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,687.44 : 75,842.83 = 31,879.65 : x
  2. Step 2: Convert to fraction form
    50,687.44/75,842.83 = 31,879.65/x
  3. Step 3: Cross multiply
    50,687.44x = 75,842.83 × 31,879.65
  4. Step 4: Simplify right side
    50,687.44x = 2,417,842,875.41
  5. Step 5: Solve for x
    x = 2,417,842,875.41/50,687.44
  6. Step 6: Final answer
    x = 47,701.03

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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.