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Finding the Fourth Proportional to 33,382.56, 50,193.90 and 30,781.86

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Solution

The fourth proportional to 33,382.56, 50,193.90 and 30,781.86 is: 46,283.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,382.56 : 50,193.90 = 30,781.86 : x
  2. Step 2: Convert to fraction form
    33,382.56/50,193.90 = 30,781.86/x
  3. Step 3: Cross multiply
    33,382.56x = 50,193.90 × 30,781.86
  4. Step 4: Simplify right side
    33,382.56x = 1,545,061,602.65
  5. Step 5: Solve for x
    x = 1,545,061,602.65/33,382.56
  6. Step 6: Final answer
    x = 46,283.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.