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Finding the Fourth Proportional to 33,971.49, 50,901.75 and 20,648.56

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Solution

The fourth proportional to 33,971.49, 50,901.75 and 20,648.56 is: 30,939.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,971.49 : 50,901.75 = 20,648.56 : x
  2. Step 2: Convert to fraction form
    33,971.49/50,901.75 = 20,648.56/x
  3. Step 3: Cross multiply
    33,971.49x = 50,901.75 × 20,648.56
  4. Step 4: Simplify right side
    33,971.49x = 1,051,047,838.98
  5. Step 5: Solve for x
    x = 1,051,047,838.98/33,971.49
  6. Step 6: Final answer
    x = 30,939.12

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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.