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Finding the Fourth Proportional to 31,782.68, 43,861.62 and 17,635.64

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Solution

The fourth proportional to 31,782.68, 43,861.62 and 17,635.64 is: 24,338.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,782.68 : 43,861.62 = 17,635.64 : x
  2. Step 2: Convert to fraction form
    31,782.68/43,861.62 = 17,635.64/x
  3. Step 3: Cross multiply
    31,782.68x = 43,861.62 × 17,635.64
  4. Step 4: Simplify right side
    31,782.68x = 773,527,740.14
  5. Step 5: Solve for x
    x = 773,527,740.14/31,782.68
  6. Step 6: Final answer
    x = 24,338.03

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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.