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Finding the Fourth Proportional to 50,723.30, 75,939.15 and 31,040.30

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Solution

The fourth proportional to 50,723.30, 75,939.15 and 31,040.30 is: 46,471.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,723.30 : 75,939.15 = 31,040.30 : x
  2. Step 2: Convert to fraction form
    50,723.30/75,939.15 = 31,040.30/x
  3. Step 3: Cross multiply
    50,723.30x = 75,939.15 × 31,040.30
  4. Step 4: Simplify right side
    50,723.30x = 2,357,173,997.75
  5. Step 5: Solve for x
    x = 2,357,173,997.75/50,723.30
  6. Step 6: Final answer
    x = 46,471.23

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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.