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Finding the Fourth Proportional to 35,938.38, 49,594.92 and 20,839.82

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Solution

The fourth proportional to 35,938.38, 49,594.92 and 20,839.82 is: 28,758.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,938.38 : 49,594.92 = 20,839.82 : x
  2. Step 2: Convert to fraction form
    35,938.38/49,594.92 = 20,839.82/x
  3. Step 3: Cross multiply
    35,938.38x = 49,594.92 × 20,839.82
  4. Step 4: Simplify right side
    35,938.38x = 1,033,548,879.59
  5. Step 5: Solve for x
    x = 1,033,548,879.59/35,938.38
  6. Step 6: Final answer
    x = 28,758.91

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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.