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Finding the Fourth Proportional to 41,882.76, 57,797.24 and 22,762.08

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Solution

The fourth proportional to 41,882.76, 57,797.24 and 22,762.08 is: 31,411.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,882.76 : 57,797.24 = 22,762.08 : x
  2. Step 2: Convert to fraction form
    41,882.76/57,797.24 = 22,762.08/x
  3. Step 3: Cross multiply
    41,882.76x = 57,797.24 × 22,762.08
  4. Step 4: Simplify right side
    41,882.76x = 1,315,585,286.85
  5. Step 5: Solve for x
    x = 1,315,585,286.85/41,882.76
  6. Step 6: Final answer
    x = 31,411.14

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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.