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Finding the Fourth Proportional to 33,431.90, 50,142.56 and 10,052.86

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Solution

The fourth proportional to 33,431.90, 50,142.56 and 10,052.86 is: 15,077.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,431.90 : 50,142.56 = 10,052.86 : x
  2. Step 2: Convert to fraction form
    33,431.90/50,142.56 = 10,052.86/x
  3. Step 3: Cross multiply
    33,431.90x = 50,142.56 × 10,052.86
  4. Step 4: Simplify right side
    33,431.90x = 504,076,135.72
  5. Step 5: Solve for x
    x = 504,076,135.72/33,431.90
  6. Step 6: Final answer
    x = 15,077.70

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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.