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Finding the Fourth Proportional to 27,307.67, 40,949.91 and 11,519.78

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Solution

The fourth proportional to 27,307.67, 40,949.91 and 11,519.78 is: 17,274.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,307.67 : 40,949.91 = 11,519.78 : x
  2. Step 2: Convert to fraction form
    27,307.67/40,949.91 = 11,519.78/x
  3. Step 3: Cross multiply
    27,307.67x = 40,949.91 × 11,519.78
  4. Step 4: Simplify right side
    27,307.67x = 471,733,749.47
  5. Step 5: Solve for x
    x = 471,733,749.47/27,307.67
  6. Step 6: Final answer
    x = 17,274.77

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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.