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Finding the Fourth Proportional to 33,809.29, 50,714.70 and 10,435.75

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Solution

The fourth proportional to 33,809.29, 50,714.70 and 10,435.75 is: 15,653.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,809.29 : 50,714.70 = 10,435.75 : x
  2. Step 2: Convert to fraction form
    33,809.29/50,714.70 = 10,435.75/x
  3. Step 3: Cross multiply
    33,809.29x = 50,714.70 × 10,435.75
  4. Step 4: Simplify right side
    33,809.29x = 529,245,930.53
  5. Step 5: Solve for x
    x = 529,245,930.53/33,809.29
  6. Step 6: Final answer
    x = 15,653.86

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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.