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Finding the Fourth Proportional to 33,743.67, 50,621.67 and 14,023.77

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Solution

The fourth proportional to 33,743.67, 50,621.67 and 14,023.77 is: 21,038.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,743.67 : 50,621.67 = 14,023.77 : x
  2. Step 2: Convert to fraction form
    33,743.67/50,621.67 = 14,023.77/x
  3. Step 3: Cross multiply
    33,743.67x = 50,621.67 × 14,023.77
  4. Step 4: Simplify right side
    33,743.67x = 709,906,657.10
  5. Step 5: Solve for x
    x = 709,906,657.10/33,743.67
  6. Step 6: Final answer
    x = 21,038.22

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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.