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Finding the Fourth Proportional to 35,899.80, 49,540.38 and 19,983.92

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Solution

The fourth proportional to 35,899.80, 49,540.38 and 19,983.92 is: 27,577.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,899.80 : 49,540.38 = 19,983.92 : x
  2. Step 2: Convert to fraction form
    35,899.80/49,540.38 = 19,983.92/x
  3. Step 3: Cross multiply
    35,899.80x = 49,540.38 × 19,983.92
  4. Step 4: Simplify right side
    35,899.80x = 990,010,742.99
  5. Step 5: Solve for x
    x = 990,010,742.99/35,899.80
  6. Step 6: Final answer
    x = 27,577.05

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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.