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Finding the Fourth Proportional to 33,783.29, 50,682.18 and 10,092.70

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Solution

The fourth proportional to 33,783.29, 50,682.18 and 10,092.70 is: 15,141.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,783.29 : 50,682.18 = 10,092.70 : x
  2. Step 2: Convert to fraction form
    33,783.29/50,682.18 = 10,092.70/x
  3. Step 3: Cross multiply
    33,783.29x = 50,682.18 × 10,092.70
  4. Step 4: Simplify right side
    33,783.29x = 511,520,038.09
  5. Step 5: Solve for x
    x = 511,520,038.09/33,783.29
  6. Step 6: Final answer
    x = 15,141.21

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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.