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Finding the Fourth Proportional to 49,808, 68,736.12 and 27,452

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Solution

The fourth proportional to 49,808, 68,736.12 and 27,452 is: 37,884.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,808 : 68,736.12 = 27,452 : x
  2. Step 2: Convert to fraction form
    49,808/68,736.12 = 27,452/x
  3. Step 3: Cross multiply
    49,808x = 68,736.12 × 27,452
  4. Step 4: Simplify right side
    49,808x = 1,886,943,966.24
  5. Step 5: Solve for x
    x = 1,886,943,966.24/49,808
  6. Step 6: Final answer
    x = 37,884.36

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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.