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Finding the Fourth Proportional to 27,751.36, 41,627.47 and 8,029.99

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Solution

The fourth proportional to 27,751.36, 41,627.47 and 8,029.99 is: 12,045.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,751.36 : 41,627.47 = 8,029.99 : x
  2. Step 2: Convert to fraction form
    27,751.36/41,627.47 = 8,029.99/x
  3. Step 3: Cross multiply
    27,751.36x = 41,627.47 × 8,029.99
  4. Step 4: Simplify right side
    27,751.36x = 334,267,980.69
  5. Step 5: Solve for x
    x = 334,267,980.69/27,751.36
  6. Step 6: Final answer
    x = 12,045.10

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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.