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Finding the Fourth Proportional to 50,689.67, 76,026.54 and 31,912.23

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Solution

The fourth proportional to 50,689.67, 76,026.54 and 31,912.23 is: 47,863.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,689.67 : 76,026.54 = 31,912.23 : x
  2. Step 2: Convert to fraction form
    50,689.67/76,026.54 = 31,912.23/x
  3. Step 3: Cross multiply
    50,689.67x = 76,026.54 × 31,912.23
  4. Step 4: Simplify right side
    50,689.67x = 2,426,176,183.32
  5. Step 5: Solve for x
    x = 2,426,176,183.32/50,689.67
  6. Step 6: Final answer
    x = 47,863.32

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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.