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Finding the Fourth Proportional to 46,511.40, 69,765.51 and 20,216.14

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Solution

The fourth proportional to 46,511.40, 69,765.51 and 20,216.14 is: 30,323.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,511.40 : 69,765.51 = 20,216.14 : x
  2. Step 2: Convert to fraction form
    46,511.40/69,765.51 = 20,216.14/x
  3. Step 3: Cross multiply
    46,511.40x = 69,765.51 × 20,216.14
  4. Step 4: Simplify right side
    46,511.40x = 1,410,389,317.33
  5. Step 5: Solve for x
    x = 1,410,389,317.33/46,511.40
  6. Step 6: Final answer
    x = 30,323.52

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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.