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Finding the Fourth Proportional to 33,153.72, 49,705.74 and 20,002.98

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Solution

The fourth proportional to 33,153.72, 49,705.74 and 20,002.98 is: 29,989.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,153.72 : 49,705.74 = 20,002.98 : x
  2. Step 2: Convert to fraction form
    33,153.72/49,705.74 = 20,002.98/x
  3. Step 3: Cross multiply
    33,153.72x = 49,705.74 × 20,002.98
  4. Step 4: Simplify right side
    33,153.72x = 994,262,923.11
  5. Step 5: Solve for x
    x = 994,262,923.11/33,153.72
  6. Step 6: Final answer
    x = 29,989.48

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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.