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Finding the Fourth Proportional to 39,206, 54,104.28 and 21,542

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Solution

The fourth proportional to 39,206, 54,104.28 and 21,542 is: 29,727.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,206 : 54,104.28 = 21,542 : x
  2. Step 2: Convert to fraction form
    39,206/54,104.28 = 21,542/x
  3. Step 3: Cross multiply
    39,206x = 54,104.28 × 21,542
  4. Step 4: Simplify right side
    39,206x = 1,165,514,399.76
  5. Step 5: Solve for x
    x = 1,165,514,399.76/39,206
  6. Step 6: Final answer
    x = 29,727.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.