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Finding the Fourth Proportional to 49,099.44, 67,759.18 and 27,880.68

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Solution

The fourth proportional to 49,099.44, 67,759.18 and 27,880.68 is: 38,476.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,099.44 : 67,759.18 = 27,880.68 : x
  2. Step 2: Convert to fraction form
    49,099.44/67,759.18 = 27,880.68/x
  3. Step 3: Cross multiply
    49,099.44x = 67,759.18 × 27,880.68
  4. Step 4: Simplify right side
    49,099.44x = 1,889,172,014.64
  5. Step 5: Solve for x
    x = 1,889,172,014.64/49,099.44
  6. Step 6: Final answer
    x = 38,476.45

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Why These Related Problems?

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