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Finding the Fourth Proportional to 46,166.46, 69,249.69 and 11,106.14

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Solution

The fourth proportional to 46,166.46, 69,249.69 and 11,106.14 is: 16,659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,166.46 : 69,249.69 = 11,106.14 : x
  2. Step 2: Convert to fraction form
    46,166.46/69,249.69 = 11,106.14/x
  3. Step 3: Cross multiply
    46,166.46x = 69,249.69 × 11,106.14
  4. Step 4: Simplify right side
    46,166.46x = 769,096,405.85
  5. Step 5: Solve for x
    x = 769,096,405.85/46,166.46
  6. Step 6: Final answer
    x = 16,659.20

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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.