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Finding the Fourth Proportional to 81,744.31, 122,616.30 and 22,579.81

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Solution

The fourth proportional to 81,744.31, 122,616.30 and 22,579.81 is: 33,869.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,744.31 : 122,616.30 = 22,579.81 : x
  2. Step 2: Convert to fraction form
    81,744.31/122,616.30 = 22,579.81/x
  3. Step 3: Cross multiply
    81,744.31x = 122,616.30 × 22,579.81
  4. Step 4: Simplify right side
    81,744.31x = 2,768,652,535.04
  5. Step 5: Solve for x
    x = 2,768,652,535.04/81,744.31
  6. Step 6: Final answer
    x = 33,869.67

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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.