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Finding the Fourth Proportional to 46,517.94, 69,776.94 and 20,208.33

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Solution

The fourth proportional to 46,517.94, 69,776.94 and 20,208.33 is: 30,312.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,517.94 : 69,776.94 = 20,208.33 : x
  2. Step 2: Convert to fraction form
    46,517.94/69,776.94 = 20,208.33/x
  3. Step 3: Cross multiply
    46,517.94x = 69,776.94 × 20,208.33
  4. Step 4: Simplify right side
    46,517.94x = 1,410,075,429.91
  5. Step 5: Solve for x
    x = 1,410,075,429.91/46,517.94
  6. Step 6: Final answer
    x = 30,312.51

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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.