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Finding the Fourth Proportional to 34,782.46, 47,998.83 and 20,635

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Solution

The fourth proportional to 34,782.46, 47,998.83 and 20,635 is: 28,475.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,782.46 : 47,998.83 = 20,635 : x
  2. Step 2: Convert to fraction form
    34,782.46/47,998.83 = 20,635/x
  3. Step 3: Cross multiply
    34,782.46x = 47,998.83 × 20,635
  4. Step 4: Simplify right side
    34,782.46x = 990,455,857.05
  5. Step 5: Solve for x
    x = 990,455,857.05/34,782.46
  6. Step 6: Final answer
    x = 28,475.73

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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.