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Finding the Fourth Proportional to 35,709.86, 49,285.44 and 27,198.38

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Solution

The fourth proportional to 35,709.86, 49,285.44 and 27,198.38 is: 37,538.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,709.86 : 49,285.44 = 27,198.38 : x
  2. Step 2: Convert to fraction form
    35,709.86/49,285.44 = 27,198.38/x
  3. Step 3: Cross multiply
    35,709.86x = 49,285.44 × 27,198.38
  4. Step 4: Simplify right side
    35,709.86x = 1,340,483,879.16
  5. Step 5: Solve for x
    x = 1,340,483,879.16/35,709.86
  6. Step 6: Final answer
    x = 37,538.21

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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.