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Finding the Fourth Proportional to 35,805.38, 49,418.64 and 20,698.65

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Solution

The fourth proportional to 35,805.38, 49,418.64 and 20,698.65 is: 28,568.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,805.38 : 49,418.64 = 20,698.65 : x
  2. Step 2: Convert to fraction form
    35,805.38/49,418.64 = 20,698.65/x
  3. Step 3: Cross multiply
    35,805.38x = 49,418.64 × 20,698.65
  4. Step 4: Simplify right side
    35,805.38x = 1,022,899,132.84
  5. Step 5: Solve for x
    x = 1,022,899,132.84/35,805.38
  6. Step 6: Final answer
    x = 28,568.31

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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.