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Finding the Fourth Proportional to 27,105.81, 40,629.92 and 13,057.08

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Solution

The fourth proportional to 27,105.81, 40,629.92 and 13,057.08 is: 19,571.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,105.81 : 40,629.92 = 13,057.08 : x
  2. Step 2: Convert to fraction form
    27,105.81/40,629.92 = 13,057.08/x
  3. Step 3: Cross multiply
    27,105.81x = 40,629.92 × 13,057.08
  4. Step 4: Simplify right side
    27,105.81x = 530,508,050.55
  5. Step 5: Solve for x
    x = 530,508,050.55/27,105.81
  6. Step 6: Final answer
    x = 19,571.75

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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.