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Finding the Fourth Proportional to 101,581.56, 152,370.72 and 27,709.56

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Solution

The fourth proportional to 101,581.56, 152,370.72 and 27,709.56 is: 41,563.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,581.56 : 152,370.72 = 27,709.56 : x
  2. Step 2: Convert to fraction form
    101,581.56/152,370.72 = 27,709.56/x
  3. Step 3: Cross multiply
    101,581.56x = 152,370.72 × 27,709.56
  4. Step 4: Simplify right side
    101,581.56x = 4,222,125,608.08
  5. Step 5: Solve for x
    x = 4,222,125,608.08/101,581.56
  6. Step 6: Final answer
    x = 41,563.90

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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.