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Finding the Fourth Proportional to 39,661.38, 54,729.23 and 22,662.24

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Solution

The fourth proportional to 39,661.38, 54,729.23 and 22,662.24 is: 31,271.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,661.38 : 54,729.23 = 22,662.24 : x
  2. Step 2: Convert to fraction form
    39,661.38/54,729.23 = 22,662.24/x
  3. Step 3: Cross multiply
    39,661.38x = 54,729.23 × 22,662.24
  4. Step 4: Simplify right side
    39,661.38x = 1,240,286,945.28
  5. Step 5: Solve for x
    x = 1,240,286,945.28/39,661.38
  6. Step 6: Final answer
    x = 31,271.91

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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.