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Finding the Fourth Proportional to 49,907.06, 68,871.75 and 27,551.06

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Solution

The fourth proportional to 49,907.06, 68,871.75 and 27,551.06 is: 38,020.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,907.06 : 68,871.75 = 27,551.06 : x
  2. Step 2: Convert to fraction form
    49,907.06/68,871.75 = 27,551.06/x
  3. Step 3: Cross multiply
    49,907.06x = 68,871.75 × 27,551.06
  4. Step 4: Simplify right side
    49,907.06x = 1,897,489,716.56
  5. Step 5: Solve for x
    x = 1,897,489,716.56/49,907.06
  6. Step 6: Final answer
    x = 38,020.47

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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.