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Finding the Fourth Proportional to 35,900.86, 49,540.80 and 19,984.90

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Solution

The fourth proportional to 35,900.86, 49,540.80 and 19,984.90 is: 27,577.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,900.86 : 49,540.80 = 19,984.90 : x
  2. Step 2: Convert to fraction form
    35,900.86/49,540.80 = 19,984.90/x
  3. Step 3: Cross multiply
    35,900.86x = 49,540.80 × 19,984.90
  4. Step 4: Simplify right side
    35,900.86x = 990,067,933.92
  5. Step 5: Solve for x
    x = 990,067,933.92/35,900.86
  6. Step 6: Final answer
    x = 27,577.83

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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.