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Finding the Fourth Proportional to 30,893.74, 46,340.85 and 20,229.08

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Solution

The fourth proportional to 30,893.74, 46,340.85 and 20,229.08 is: 30,343.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,893.74 : 46,340.85 = 20,229.08 : x
  2. Step 2: Convert to fraction form
    30,893.74/46,340.85 = 20,229.08/x
  3. Step 3: Cross multiply
    30,893.74x = 46,340.85 × 20,229.08
  4. Step 4: Simplify right side
    30,893.74x = 937,432,761.92
  5. Step 5: Solve for x
    x = 937,432,761.92/30,893.74
  6. Step 6: Final answer
    x = 30,343.78

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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.