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Finding the Fourth Proportional to 39,305.64, 54,197.10 and 29,857.80

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Solution

The fourth proportional to 39,305.64, 54,197.10 and 29,857.80 is: 41,169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,305.64 : 54,197.10 = 29,857.80 : x
  2. Step 2: Convert to fraction form
    39,305.64/54,197.10 = 29,857.80/x
  3. Step 3: Cross multiply
    39,305.64x = 54,197.10 × 29,857.80
  4. Step 4: Simplify right side
    39,305.64x = 1,618,206,172.38
  5. Step 5: Solve for x
    x = 1,618,206,172.38/39,305.64
  6. Step 6: Final answer
    x = 41,169.82

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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.