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Finding the Fourth Proportional to 46,478.36, 69,678.36 and 20,163.26

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Solution

The fourth proportional to 46,478.36, 69,678.36 and 20,163.26 is: 30,227.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,478.36 : 69,678.36 = 20,163.26 : x
  2. Step 2: Convert to fraction form
    46,478.36/69,678.36 = 20,163.26/x
  3. Step 3: Cross multiply
    46,478.36x = 69,678.36 × 20,163.26
  4. Step 4: Simplify right side
    46,478.36x = 1,404,942,889.05
  5. Step 5: Solve for x
    x = 1,404,942,889.05/46,478.36
  6. Step 6: Final answer
    x = 30,227.89

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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.