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Finding the Fourth Proportional to 33,703.34, 50,557.23 and 13,983.48

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Solution

The fourth proportional to 33,703.34, 50,557.23 and 13,983.48 is: 20,976.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,703.34 : 50,557.23 = 13,983.48 : x
  2. Step 2: Convert to fraction form
    33,703.34/50,557.23 = 13,983.48/x
  3. Step 3: Cross multiply
    33,703.34x = 50,557.23 × 13,983.48
  4. Step 4: Simplify right side
    33,703.34x = 706,966,014.56
  5. Step 5: Solve for x
    x = 706,966,014.56/33,703.34
  6. Step 6: Final answer
    x = 20,976.14

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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.