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Finding the Fourth Proportional to 31,651.68, 43,677.84 and 17,504.16

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Solution

The fourth proportional to 31,651.68, 43,677.84 and 17,504.16 is: 24,154.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,651.68 : 43,677.84 = 17,504.16 : x
  2. Step 2: Convert to fraction form
    31,651.68/43,677.84 = 17,504.16/x
  3. Step 3: Cross multiply
    31,651.68x = 43,677.84 × 17,504.16
  4. Step 4: Simplify right side
    31,651.68x = 764,543,899.81
  5. Step 5: Solve for x
    x = 764,543,899.81/31,651.68
  6. Step 6: Final answer
    x = 24,154.92

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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.