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Finding the Fourth Proportional to 49,823.94, 68,704.29 and 31,919.70

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Solution

The fourth proportional to 49,823.94, 68,704.29 and 31,919.70 is: 44,015.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,823.94 : 68,704.29 = 31,919.70 : x
  2. Step 2: Convert to fraction form
    49,823.94/68,704.29 = 31,919.70/x
  3. Step 3: Cross multiply
    49,823.94x = 68,704.29 × 31,919.70
  4. Step 4: Simplify right side
    49,823.94x = 2,193,020,325.51
  5. Step 5: Solve for x
    x = 2,193,020,325.51/49,823.94
  6. Step 6: Final answer
    x = 44,015.39

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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.