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Finding the Fourth Proportional to 49,281.45, 68,013.74 and 30,174.09

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Solution

The fourth proportional to 49,281.45, 68,013.74 and 30,174.09 is: 41,643.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,281.45 : 68,013.74 = 30,174.09 : x
  2. Step 2: Convert to fraction form
    49,281.45/68,013.74 = 30,174.09/x
  3. Step 3: Cross multiply
    49,281.45x = 68,013.74 × 30,174.09
  4. Step 4: Simplify right side
    49,281.45x = 2,052,252,532.38
  5. Step 5: Solve for x
    x = 2,052,252,532.38/49,281.45
  6. Step 6: Final answer
    x = 41,643.51

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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.