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Finding the Fourth Proportional to 49,097.50, 67,754.69 and 27,880.09

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Solution

The fourth proportional to 49,097.50, 67,754.69 and 27,880.09 is: 38,474.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,097.50 : 67,754.69 = 27,880.09 : x
  2. Step 2: Convert to fraction form
    49,097.50/67,754.69 = 27,880.09/x
  3. Step 3: Cross multiply
    49,097.50x = 67,754.69 × 27,880.09
  4. Step 4: Simplify right side
    49,097.50x = 1,889,006,715.72
  5. Step 5: Solve for x
    x = 1,889,006,715.72/49,097.50
  6. Step 6: Final answer
    x = 38,474.60

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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.