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Finding the Fourth Proportional to 39,622, 54,679.98 and 22,855

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Solution

The fourth proportional to 39,622, 54,679.98 and 22,855 is: 31,540.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,622 : 54,679.98 = 22,855 : x
  2. Step 2: Convert to fraction form
    39,622/54,679.98 = 22,855/x
  3. Step 3: Cross multiply
    39,622x = 54,679.98 × 22,855
  4. Step 4: Simplify right side
    39,622x = 1,249,710,942.90
  5. Step 5: Solve for x
    x = 1,249,710,942.90/39,622
  6. Step 6: Final answer
    x = 31,540.83

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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.