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Finding the Fourth Proportional to 35,654.76, 49,198.50 and 19,738.80

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Solution

The fourth proportional to 35,654.76, 49,198.50 and 19,738.80 is: 27,236.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,654.76 : 49,198.50 = 19,738.80 : x
  2. Step 2: Convert to fraction form
    35,654.76/49,198.50 = 19,738.80/x
  3. Step 3: Cross multiply
    35,654.76x = 49,198.50 × 19,738.80
  4. Step 4: Simplify right side
    35,654.76x = 971,119,351.80
  5. Step 5: Solve for x
    x = 971,119,351.80/35,654.76
  6. Step 6: Final answer
    x = 27,236.74

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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.