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Finding the Fourth Proportional to 34,741.16, 47,942.68 and 18,826

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Solution

The fourth proportional to 34,741.16, 47,942.68 and 18,826 is: 25,979.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,741.16 : 47,942.68 = 18,826 : x
  2. Step 2: Convert to fraction form
    34,741.16/47,942.68 = 18,826/x
  3. Step 3: Cross multiply
    34,741.16x = 47,942.68 × 18,826
  4. Step 4: Simplify right side
    34,741.16x = 902,568,893.68
  5. Step 5: Solve for x
    x = 902,568,893.68/34,741.16
  6. Step 6: Final answer
    x = 25,979.81

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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.