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Finding the Fourth Proportional to 27,578.89, 41,343.72 and 12,767.50

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Solution

The fourth proportional to 27,578.89, 41,343.72 and 12,767.50 is: 19,139.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,578.89 : 41,343.72 = 12,767.50 : x
  2. Step 2: Convert to fraction form
    27,578.89/41,343.72 = 12,767.50/x
  3. Step 3: Cross multiply
    27,578.89x = 41,343.72 × 12,767.50
  4. Step 4: Simplify right side
    27,578.89x = 527,855,945.10
  5. Step 5: Solve for x
    x = 527,855,945.10/27,578.89
  6. Step 6: Final answer
    x = 19,139.85

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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.