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Finding the Fourth Proportional to 33,804.96, 50,714.69 and 10,114.35

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Solution

The fourth proportional to 33,804.96, 50,714.69 and 10,114.35 is: 15,173.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,804.96 : 50,714.69 = 10,114.35 : x
  2. Step 2: Convert to fraction form
    33,804.96/50,714.69 = 10,114.35/x
  3. Step 3: Cross multiply
    33,804.96x = 50,714.69 × 10,114.35
  4. Step 4: Simplify right side
    33,804.96x = 512,946,074.23
  5. Step 5: Solve for x
    x = 512,946,074.23/33,804.96
  6. Step 6: Final answer
    x = 15,173.69

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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.