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Finding the Fourth Proportional to 34,213.69, 51,249 and 27,513.95

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Solution

The fourth proportional to 34,213.69, 51,249 and 27,513.95 is: 41,213.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,213.69 : 51,249 = 27,513.95 : x
  2. Step 2: Convert to fraction form
    34,213.69/51,249 = 27,513.95/x
  3. Step 3: Cross multiply
    34,213.69x = 51,249 × 27,513.95
  4. Step 4: Simplify right side
    34,213.69x = 1,410,062,423.55
  5. Step 5: Solve for x
    x = 1,410,062,423.55/34,213.69
  6. Step 6: Final answer
    x = 41,213.40

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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.