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Finding the Fourth Proportional to 33,491.88, 50,243.90 and 13,784.58

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Solution

The fourth proportional to 33,491.88, 50,243.90 and 13,784.58 is: 20,679.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,491.88 : 50,243.90 = 13,784.58 : x
  2. Step 2: Convert to fraction form
    33,491.88/50,243.90 = 13,784.58/x
  3. Step 3: Cross multiply
    33,491.88x = 50,243.90 × 13,784.58
  4. Step 4: Simplify right side
    33,491.88x = 692,590,990.14
  5. Step 5: Solve for x
    x = 692,590,990.14/33,491.88
  6. Step 6: Final answer
    x = 20,679.37

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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.