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Finding the Fourth Proportional to 49,640, 68,503.20 and 27,283.52

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Solution

The fourth proportional to 49,640, 68,503.20 and 27,283.52 is: 37,651.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,640 : 68,503.20 = 27,283.52 : x
  2. Step 2: Convert to fraction form
    49,640/68,503.20 = 27,283.52/x
  3. Step 3: Cross multiply
    49,640x = 68,503.20 × 27,283.52
  4. Step 4: Simplify right side
    49,640x = 1,869,008,427.26
  5. Step 5: Solve for x
    x = 1,869,008,427.26/49,640
  6. Step 6: Final answer
    x = 37,651.26

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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.