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Finding the Fourth Proportional to 49,252.82, 67,969.28 and 28,033.44

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Solution

The fourth proportional to 49,252.82, 67,969.28 and 28,033.44 is: 38,686.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,252.82 : 67,969.28 = 28,033.44 : x
  2. Step 2: Convert to fraction form
    49,252.82/67,969.28 = 28,033.44/x
  3. Step 3: Cross multiply
    49,252.82x = 67,969.28 × 28,033.44
  4. Step 4: Simplify right side
    49,252.82x = 1,905,412,732.72
  5. Step 5: Solve for x
    x = 1,905,412,732.72/49,252.82
  6. Step 6: Final answer
    x = 38,686.37

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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.