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Finding the Fourth Proportional to 33,433.72, 50,106.30 and 27,898

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Solution

The fourth proportional to 33,433.72, 50,106.30 and 27,898 is: 41,810.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,433.72 : 50,106.30 = 27,898 : x
  2. Step 2: Convert to fraction form
    33,433.72/50,106.30 = 27,898/x
  3. Step 3: Cross multiply
    33,433.72x = 50,106.30 × 27,898
  4. Step 4: Simplify right side
    33,433.72x = 1,397,865,557.40
  5. Step 5: Solve for x
    x = 1,397,865,557.40/33,433.72
  6. Step 6: Final answer
    x = 41,810.05

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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.