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Finding the Fourth Proportional to 33,401.94, 46,102.24 and 20,824.26

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Solution

The fourth proportional to 33,401.94, 46,102.24 and 20,824.26 is: 28,742.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,401.94 : 46,102.24 = 20,824.26 : x
  2. Step 2: Convert to fraction form
    33,401.94/46,102.24 = 20,824.26/x
  3. Step 3: Cross multiply
    33,401.94x = 46,102.24 × 20,824.26
  4. Step 4: Simplify right side
    33,401.94x = 960,045,032.34
  5. Step 5: Solve for x
    x = 960,045,032.34/33,401.94
  6. Step 6: Final answer
    x = 28,742.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.