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Finding the Fourth Proportional to 27,656.10, 41,469.57 and 12,055.50

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Solution

The fourth proportional to 27,656.10, 41,469.57 and 12,055.50 is: 18,076.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,656.10 : 41,469.57 = 12,055.50 : x
  2. Step 2: Convert to fraction form
    27,656.10/41,469.57 = 12,055.50/x
  3. Step 3: Cross multiply
    27,656.10x = 41,469.57 × 12,055.50
  4. Step 4: Simplify right side
    27,656.10x = 499,936,401.14
  5. Step 5: Solve for x
    x = 499,936,401.14/27,656.10
  6. Step 6: Final answer
    x = 18,076.89

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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.