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Finding the Fourth Proportional to 74,571.72, 111,877.08 and 27,825

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Solution

The fourth proportional to 74,571.72, 111,877.08 and 27,825 is: 41,744.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,571.72 : 111,877.08 = 27,825 : x
  2. Step 2: Convert to fraction form
    74,571.72/111,877.08 = 27,825/x
  3. Step 3: Cross multiply
    74,571.72x = 111,877.08 × 27,825
  4. Step 4: Simplify right side
    74,571.72x = 3,112,979,751
  5. Step 5: Solve for x
    x = 3,112,979,751/74,571.72
  6. Step 6: Final answer
    x = 41,744.78

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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.