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Finding the Fourth Proportional to 39,633, 54,695.97 and 22,866

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Solution

The fourth proportional to 39,633, 54,695.97 and 22,866 is: 31,556.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,633 : 54,695.97 = 22,866 : x
  2. Step 2: Convert to fraction form
    39,633/54,695.97 = 22,866/x
  3. Step 3: Cross multiply
    39,633x = 54,695.97 × 22,866
  4. Step 4: Simplify right side
    39,633x = 1,250,678,050.02
  5. Step 5: Solve for x
    x = 1,250,678,050.02/39,633
  6. Step 6: Final answer
    x = 31,556.48

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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.