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Finding the Fourth Proportional to 35,647.80, 49,194.81 and 19,732.92

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Solution

The fourth proportional to 35,647.80, 49,194.81 and 19,732.92 is: 27,231.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,647.80 : 49,194.81 = 19,732.92 : x
  2. Step 2: Convert to fraction form
    35,647.80/49,194.81 = 19,732.92/x
  3. Step 3: Cross multiply
    35,647.80x = 49,194.81 × 19,732.92
  4. Step 4: Simplify right side
    35,647.80x = 970,757,250.15
  5. Step 5: Solve for x
    x = 970,757,250.15/35,647.80
  6. Step 6: Final answer
    x = 27,231.90

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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.