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Finding the Fourth Proportional to 33,638.26, 50,457.40 and 11,453.98

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Solution

The fourth proportional to 33,638.26, 50,457.40 and 11,453.98 is: 17,180.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,638.26 : 50,457.40 = 11,453.98 : x
  2. Step 2: Convert to fraction form
    33,638.26/50,457.40 = 11,453.98/x
  3. Step 3: Cross multiply
    33,638.26x = 50,457.40 × 11,453.98
  4. Step 4: Simplify right side
    33,638.26x = 577,938,050.45
  5. Step 5: Solve for x
    x = 577,938,050.45/33,638.26
  6. Step 6: Final answer
    x = 17,180.97

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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.