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Finding the Fourth Proportional to 39,196.87, 54,092.14 and 21,292.16

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Solution

The fourth proportional to 39,196.87, 54,092.14 and 21,292.16 is: 29,383.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,196.87 : 54,092.14 = 21,292.16 : x
  2. Step 2: Convert to fraction form
    39,196.87/54,092.14 = 21,292.16/x
  3. Step 3: Cross multiply
    39,196.87x = 54,092.14 × 21,292.16
  4. Step 4: Simplify right side
    39,196.87x = 1,151,738,175.93
  5. Step 5: Solve for x
    x = 1,151,738,175.93/39,196.87
  6. Step 6: Final answer
    x = 29,383.42

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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.