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Finding the Fourth Proportional to 30,741.66, 46,093.99 and 20,850.94

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Solution

The fourth proportional to 30,741.66, 46,093.99 and 20,850.94 is: 31,263.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,741.66 : 46,093.99 = 20,850.94 : x
  2. Step 2: Convert to fraction form
    30,741.66/46,093.99 = 20,850.94/x
  3. Step 3: Cross multiply
    30,741.66x = 46,093.99 × 20,850.94
  4. Step 4: Simplify right side
    30,741.66x = 961,103,019.85
  5. Step 5: Solve for x
    x = 961,103,019.85/30,741.66
  6. Step 6: Final answer
    x = 31,263.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.