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Finding the Fourth Proportional to 33,534, 50,224.46 and 16,016.13

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Solution

The fourth proportional to 33,534, 50,224.46 and 16,016.13 is: 23,987.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,534 : 50,224.46 = 16,016.13 : x
  2. Step 2: Convert to fraction form
    33,534/50,224.46 = 16,016.13/x
  3. Step 3: Cross multiply
    33,534x = 50,224.46 × 16,016.13
  4. Step 4: Simplify right side
    33,534x = 804,401,400.46
  5. Step 5: Solve for x
    x = 804,401,400.46/33,534
  6. Step 6: Final answer
    x = 23,987.64

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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.