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Finding the Fourth Proportional to 27,270.27, 40,905.91 and 8,549.89

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Solution

The fourth proportional to 27,270.27, 40,905.91 and 8,549.89 is: 12,824.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,270.27 : 40,905.91 = 8,549.89 : x
  2. Step 2: Convert to fraction form
    27,270.27/40,905.91 = 8,549.89/x
  3. Step 3: Cross multiply
    27,270.27x = 40,905.91 × 8,549.89
  4. Step 4: Simplify right side
    27,270.27x = 349,740,939.27
  5. Step 5: Solve for x
    x = 349,740,939.27/27,270.27
  6. Step 6: Final answer
    x = 12,824.99

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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.