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Finding the Fourth Proportional to 27,047.94, 40,571.91 and 8,578.50

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Solution

The fourth proportional to 27,047.94, 40,571.91 and 8,578.50 is: 12,867.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,047.94 : 40,571.91 = 8,578.50 : x
  2. Step 2: Convert to fraction form
    27,047.94/40,571.91 = 8,578.50/x
  3. Step 3: Cross multiply
    27,047.94x = 40,571.91 × 8,578.50
  4. Step 4: Simplify right side
    27,047.94x = 348,046,129.94
  5. Step 5: Solve for x
    x = 348,046,129.94/27,047.94
  6. Step 6: Final answer
    x = 12,867.75

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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.