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Finding the Fourth Proportional to 35,950.78, 49,611.30 and 20,846.14

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Solution

The fourth proportional to 35,950.78, 49,611.30 and 20,846.14 is: 28,767.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,950.78 : 49,611.30 = 20,846.14 : x
  2. Step 2: Convert to fraction form
    35,950.78/49,611.30 = 20,846.14/x
  3. Step 3: Cross multiply
    35,950.78x = 49,611.30 × 20,846.14
  4. Step 4: Simplify right side
    35,950.78x = 1,034,204,105.38
  5. Step 5: Solve for x
    x = 1,034,204,105.38/35,950.78
  6. Step 6: Final answer
    x = 28,767.22

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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.