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Finding the Fourth Proportional to 33,589.48, 50,315.08 and 19,705

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Solution

The fourth proportional to 33,589.48, 50,315.08 and 19,705 is: 29,516.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,589.48 : 50,315.08 = 19,705 : x
  2. Step 2: Convert to fraction form
    33,589.48/50,315.08 = 19,705/x
  3. Step 3: Cross multiply
    33,589.48x = 50,315.08 × 19,705
  4. Step 4: Simplify right side
    33,589.48x = 991,458,651.40
  5. Step 5: Solve for x
    x = 991,458,651.40/33,589.48
  6. Step 6: Final answer
    x = 29,516.94

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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.