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Finding the Fourth Proportional to 33,111.68, 49,716.12 and 20,684.66

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Solution

The fourth proportional to 33,111.68, 49,716.12 and 20,684.66 is: 31,057.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,111.68 : 49,716.12 = 20,684.66 : x
  2. Step 2: Convert to fraction form
    33,111.68/49,716.12 = 20,684.66/x
  3. Step 3: Cross multiply
    33,111.68x = 49,716.12 × 20,684.66
  4. Step 4: Simplify right side
    33,111.68x = 1,028,361,038.72
  5. Step 5: Solve for x
    x = 1,028,361,038.72/33,111.68
  6. Step 6: Final answer
    x = 31,057.35

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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.