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Finding the Fourth Proportional to 39,767.82, 54,879.69 and 22,772.31

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Solution

The fourth proportional to 39,767.82, 54,879.69 and 22,772.31 is: 31,425.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,767.82 : 54,879.69 = 22,772.31 : x
  2. Step 2: Convert to fraction form
    39,767.82/54,879.69 = 22,772.31/x
  3. Step 3: Cross multiply
    39,767.82x = 54,879.69 × 22,772.31
  4. Step 4: Simplify right side
    39,767.82x = 1,249,737,313.38
  5. Step 5: Solve for x
    x = 1,249,737,313.38/39,767.82
  6. Step 6: Final answer
    x = 31,425.84

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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.