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Finding the Fourth Proportional to 49,797.63, 68,720.74 and 27,136.64

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Solution

The fourth proportional to 49,797.63, 68,720.74 and 27,136.64 is: 37,448.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,797.63 : 68,720.74 = 27,136.64 : x
  2. Step 2: Convert to fraction form
    49,797.63/68,720.74 = 27,136.64/x
  3. Step 3: Cross multiply
    49,797.63x = 68,720.74 × 27,136.64
  4. Step 4: Simplify right side
    49,797.63x = 1,864,850,085.87
  5. Step 5: Solve for x
    x = 1,864,850,085.87/49,797.63
  6. Step 6: Final answer
    x = 37,448.57

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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.