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Finding the Fourth Proportional to 123,954.44, 186,004.54 and 49,081.80

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Solution

The fourth proportional to 123,954.44, 186,004.54 and 49,081.80 is: 73,651.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,954.44 : 186,004.54 = 49,081.80 : x
  2. Step 2: Convert to fraction form
    123,954.44/186,004.54 = 49,081.80/x
  3. Step 3: Cross multiply
    123,954.44x = 186,004.54 × 49,081.80
  4. Step 4: Simplify right side
    123,954.44x = 9,129,437,631.37
  5. Step 5: Solve for x
    x = 9,129,437,631.37/123,954.44
  6. Step 6: Final answer
    x = 73,651.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.