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Finding the Fourth Proportional to 50,313.52, 69,391.44 and 31,180

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Solution

The fourth proportional to 50,313.52, 69,391.44 and 31,180 is: 43,002.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,313.52 : 69,391.44 = 31,180 : x
  2. Step 2: Convert to fraction form
    50,313.52/69,391.44 = 31,180/x
  3. Step 3: Cross multiply
    50,313.52x = 69,391.44 × 31,180
  4. Step 4: Simplify right side
    50,313.52x = 2,163,625,099.20
  5. Step 5: Solve for x
    x = 2,163,625,099.20/50,313.52
  6. Step 6: Final answer
    x = 43,002.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.