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Finding the Fourth Proportional to 31,651.34, 43,678.68 and 17,504.19

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Solution

The fourth proportional to 31,651.34, 43,678.68 and 17,504.19 is: 24,155.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,651.34 : 43,678.68 = 17,504.19 : x
  2. Step 2: Convert to fraction form
    31,651.34/43,678.68 = 17,504.19/x
  3. Step 3: Cross multiply
    31,651.34x = 43,678.68 × 17,504.19
  4. Step 4: Simplify right side
    31,651.34x = 764,559,913.67
  5. Step 5: Solve for x
    x = 764,559,913.67/31,651.34
  6. Step 6: Final answer
    x = 24,155.69

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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.