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Finding the Fourth Proportional to 27,957.54, 41,936.64 and 11,094.68

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Solution

The fourth proportional to 27,957.54, 41,936.64 and 11,094.68 is: 16,642.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,957.54 : 41,936.64 = 11,094.68 : x
  2. Step 2: Convert to fraction form
    27,957.54/41,936.64 = 11,094.68/x
  3. Step 3: Cross multiply
    27,957.54x = 41,936.64 × 11,094.68
  4. Step 4: Simplify right side
    27,957.54x = 465,273,601.08
  5. Step 5: Solve for x
    x = 465,273,601.08/27,957.54
  6. Step 6: Final answer
    x = 16,642.15

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Why These Related Problems?

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