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Finding the Fourth Proportional to 30,741.41, 46,093.62 and 20,850.69

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Solution

The fourth proportional to 30,741.41, 46,093.62 and 20,850.69 is: 31,263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,741.41 : 46,093.62 = 20,850.69 : x
  2. Step 2: Convert to fraction form
    30,741.41/46,093.62 = 20,850.69/x
  3. Step 3: Cross multiply
    30,741.41x = 46,093.62 × 20,850.69
  4. Step 4: Simplify right side
    30,741.41x = 961,083,781.60
  5. Step 5: Solve for x
    x = 961,083,781.60/30,741.41
  6. Step 6: Final answer
    x = 31,263.50

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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.