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Finding the Fourth Proportional to 33,044.50, 45,571.16 and 21,709.50

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Solution

The fourth proportional to 33,044.50, 45,571.16 and 21,709.50 is: 29,939.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,044.50 : 45,571.16 = 21,709.50 : x
  2. Step 2: Convert to fraction form
    33,044.50/45,571.16 = 21,709.50/x
  3. Step 3: Cross multiply
    33,044.50x = 45,571.16 × 21,709.50
  4. Step 4: Simplify right side
    33,044.50x = 989,327,098.02
  5. Step 5: Solve for x
    x = 989,327,098.02/33,044.50
  6. Step 6: Final answer
    x = 29,939.24

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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.