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Finding the Fourth Proportional to 49,219.49, 67,921.34 and 27,710.49

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Solution

The fourth proportional to 49,219.49, 67,921.34 and 27,710.49 is: 38,239.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,219.49 : 67,921.34 = 27,710.49 : x
  2. Step 2: Convert to fraction form
    49,219.49/67,921.34 = 27,710.49/x
  3. Step 3: Cross multiply
    49,219.49x = 67,921.34 × 27,710.49
  4. Step 4: Simplify right side
    49,219.49x = 1,882,133,474.30
  5. Step 5: Solve for x
    x = 1,882,133,474.30/49,219.49
  6. Step 6: Final answer
    x = 38,239.60

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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.