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Finding the Fourth Proportional to 49,360, 68,118.44 and 27,004

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Solution

The fourth proportional to 49,360, 68,118.44 and 27,004 is: 37,266.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,360 : 68,118.44 = 27,004 : x
  2. Step 2: Convert to fraction form
    49,360/68,118.44 = 27,004/x
  3. Step 3: Cross multiply
    49,360x = 68,118.44 × 27,004
  4. Step 4: Simplify right side
    49,360x = 1,839,470,353.76
  5. Step 5: Solve for x
    x = 1,839,470,353.76/49,360
  6. Step 6: Final answer
    x = 37,266.42

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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.