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Finding the Fourth Proportional to 33,835.32, 50,737.41 and 14,102.10

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Solution

The fourth proportional to 33,835.32, 50,737.41 and 14,102.10 is: 21,146.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,835.32 : 50,737.41 = 14,102.10 : x
  2. Step 2: Convert to fraction form
    33,835.32/50,737.41 = 14,102.10/x
  3. Step 3: Cross multiply
    33,835.32x = 50,737.41 × 14,102.10
  4. Step 4: Simplify right side
    33,835.32x = 715,504,029.56
  5. Step 5: Solve for x
    x = 715,504,029.56/33,835.32
  6. Step 6: Final answer
    x = 21,146.66

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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.