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Finding the Fourth Proportional to 74,472.82, 111,674.12 and 27,054.48

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Solution

The fourth proportional to 74,472.82, 111,674.12 and 27,054.48 is: 40,568.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,472.82 : 111,674.12 = 27,054.48 : x
  2. Step 2: Convert to fraction form
    74,472.82/111,674.12 = 27,054.48/x
  3. Step 3: Cross multiply
    74,472.82x = 111,674.12 × 27,054.48
  4. Step 4: Simplify right side
    74,472.82x = 3,021,285,246.06
  5. Step 5: Solve for x
    x = 3,021,285,246.06/74,472.82
  6. Step 6: Final answer
    x = 40,568.97

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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.