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Finding the Fourth Proportional to 33,776.80, 50,674.43 and 10,085.44

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Solution

The fourth proportional to 33,776.80, 50,674.43 and 10,085.44 is: 15,130.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,776.80 : 50,674.43 = 10,085.44 : x
  2. Step 2: Convert to fraction form
    33,776.80/50,674.43 = 10,085.44/x
  3. Step 3: Cross multiply
    33,776.80x = 50,674.43 × 10,085.44
  4. Step 4: Simplify right side
    33,776.80x = 511,073,619.50
  5. Step 5: Solve for x
    x = 511,073,619.50/33,776.80
  6. Step 6: Final answer
    x = 15,130.91

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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.