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Finding the Fourth Proportional to 49,768.63, 68,680.70 and 27,412.63

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Solution

The fourth proportional to 49,768.63, 68,680.70 and 27,412.63 is: 37,829.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,768.63 : 68,680.70 = 27,412.63 : x
  2. Step 2: Convert to fraction form
    49,768.63/68,680.70 = 27,412.63/x
  3. Step 3: Cross multiply
    49,768.63x = 68,680.70 × 27,412.63
  4. Step 4: Simplify right side
    49,768.63x = 1,882,718,617.24
  5. Step 5: Solve for x
    x = 1,882,718,617.24/49,768.63
  6. Step 6: Final answer
    x = 37,829.42

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1.5x scale

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.