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Finding the Fourth Proportional to 49,978, 68,969.72 and 27,622

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Solution

The fourth proportional to 49,978, 68,969.72 and 27,622 is: 38,118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,978 : 68,969.72 = 27,622 : x
  2. Step 2: Convert to fraction form
    49,978/68,969.72 = 27,622/x
  3. Step 3: Cross multiply
    49,978x = 68,969.72 × 27,622
  4. Step 4: Simplify right side
    49,978x = 1,905,081,605.84
  5. Step 5: Solve for x
    x = 1,905,081,605.84/49,978
  6. Step 6: Final answer
    x = 38,118.40

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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.