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Finding the Fourth Proportional to 46,399.68, 69,610.32 and 20,107.08

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Solution

The fourth proportional to 46,399.68, 69,610.32 and 20,107.08 is: 30,165.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,399.68 : 69,610.32 = 20,107.08 : x
  2. Step 2: Convert to fraction form
    46,399.68/69,610.32 = 20,107.08/x
  3. Step 3: Cross multiply
    46,399.68x = 69,610.32 × 20,107.08
  4. Step 4: Simplify right side
    46,399.68x = 1,399,660,273.07
  5. Step 5: Solve for x
    x = 1,399,660,273.07/46,399.68
  6. Step 6: Final answer
    x = 30,165.30

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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.