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Finding the Fourth Proportional to 35,906.96, 49,540.38 and 19,988.66

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Solution

The fourth proportional to 35,906.96, 49,540.38 and 19,988.66 is: 27,578.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,906.96 : 49,540.38 = 19,988.66 : x
  2. Step 2: Convert to fraction form
    35,906.96/49,540.38 = 19,988.66/x
  3. Step 3: Cross multiply
    35,906.96x = 49,540.38 × 19,988.66
  4. Step 4: Simplify right side
    35,906.96x = 990,245,812.09
  5. Step 5: Solve for x
    x = 990,245,812.09/35,906.96
  6. Step 6: Final answer
    x = 27,578.10

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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.