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Finding the Fourth Proportional to 41,628.66, 57,448 and 22,765.38

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Solution

The fourth proportional to 41,628.66, 57,448 and 22,765.38 is: 31,416.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,628.66 : 57,448 = 22,765.38 : x
  2. Step 2: Convert to fraction form
    41,628.66/57,448 = 22,765.38/x
  3. Step 3: Cross multiply
    41,628.66x = 57,448 × 22,765.38
  4. Step 4: Simplify right side
    41,628.66x = 1,307,825,550.24
  5. Step 5: Solve for x
    x = 1,307,825,550.24/41,628.66
  6. Step 6: Final answer
    x = 31,416.47

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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.