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Finding the Fourth Proportional to 47,884.65, 71,836.22 and 16,293.43

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Solution

The fourth proportional to 47,884.65, 71,836.22 and 16,293.43 is: 24,443.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,884.65 : 71,836.22 = 16,293.43 : x
  2. Step 2: Convert to fraction form
    47,884.65/71,836.22 = 16,293.43/x
  3. Step 3: Cross multiply
    47,884.65x = 71,836.22 × 16,293.43
  4. Step 4: Simplify right side
    47,884.65x = 1,170,458,422.03
  5. Step 5: Solve for x
    x = 1,170,458,422.03/47,884.65
  6. Step 6: Final answer
    x = 24,443.29

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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.