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Finding the Fourth Proportional to 39,197.69, 54,091.90 and 21,292.30

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Solution

The fourth proportional to 39,197.69, 54,091.90 and 21,292.30 is: 29,382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,197.69 : 54,091.90 = 21,292.30 : x
  2. Step 2: Convert to fraction form
    39,197.69/54,091.90 = 21,292.30/x
  3. Step 3: Cross multiply
    39,197.69x = 54,091.90 × 21,292.30
  4. Step 4: Simplify right side
    39,197.69x = 1,151,740,962.37
  5. Step 5: Solve for x
    x = 1,151,740,962.37/39,197.69
  6. Step 6: Final answer
    x = 29,382.88

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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.