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Finding the Fourth Proportional to 49,197.99, 67,892.88 and 27,977.25

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Solution

The fourth proportional to 49,197.99, 67,892.88 and 27,977.25 is: 38,608.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,197.99 : 67,892.88 = 27,977.25 : x
  2. Step 2: Convert to fraction form
    49,197.99/67,892.88 = 27,977.25/x
  3. Step 3: Cross multiply
    49,197.99x = 67,892.88 × 27,977.25
  4. Step 4: Simplify right side
    49,197.99x = 1,899,456,076.98
  5. Step 5: Solve for x
    x = 1,899,456,076.98/49,197.99
  6. Step 6: Final answer
    x = 38,608.41

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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.