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Finding the Fourth Proportional to 41,688.56, 57,529.78 and 22,568

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Solution

The fourth proportional to 41,688.56, 57,529.78 and 22,568 is: 31,143.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,688.56 : 57,529.78 = 22,568 : x
  2. Step 2: Convert to fraction form
    41,688.56/57,529.78 = 22,568/x
  3. Step 3: Cross multiply
    41,688.56x = 57,529.78 × 22,568
  4. Step 4: Simplify right side
    41,688.56x = 1,298,332,075.04
  5. Step 5: Solve for x
    x = 1,298,332,075.04/41,688.56
  6. Step 6: Final answer
    x = 31,143.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.