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Finding the Fourth Proportional to 27,725.36, 41,601 and 16,048.40

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Solution

The fourth proportional to 27,725.36, 41,601 and 16,048.40 is: 24,080.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,725.36 : 41,601 = 16,048.40 : x
  2. Step 2: Convert to fraction form
    27,725.36/41,601 = 16,048.40/x
  3. Step 3: Cross multiply
    27,725.36x = 41,601 × 16,048.40
  4. Step 4: Simplify right side
    27,725.36x = 667,629,488.40
  5. Step 5: Solve for x
    x = 667,629,488.40/27,725.36
  6. Step 6: Final answer
    x = 24,080.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.