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Finding the Fourth Proportional to 34,855.12, 48,099.84 and 19,954

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Solution

The fourth proportional to 34,855.12, 48,099.84 and 19,954 is: 27,536.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,855.12 : 48,099.84 = 19,954 : x
  2. Step 2: Convert to fraction form
    34,855.12/48,099.84 = 19,954/x
  3. Step 3: Cross multiply
    34,855.12x = 48,099.84 × 19,954
  4. Step 4: Simplify right side
    34,855.12x = 959,784,207.36
  5. Step 5: Solve for x
    x = 959,784,207.36/34,855.12
  6. Step 6: Final answer
    x = 27,536.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.