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Finding the Fourth Proportional to 35,980.56, 49,652.10 and 20,067.72

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Solution

The fourth proportional to 35,980.56, 49,652.10 and 20,067.72 is: 27,692.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,980.56 : 49,652.10 = 20,067.72 : x
  2. Step 2: Convert to fraction form
    35,980.56/49,652.10 = 20,067.72/x
  3. Step 3: Cross multiply
    35,980.56x = 49,652.10 × 20,067.72
  4. Step 4: Simplify right side
    35,980.56x = 996,404,440.21
  5. Step 5: Solve for x
    x = 996,404,440.21/35,980.56
  6. Step 6: Final answer
    x = 27,692.86

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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.