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Finding the Fourth Proportional to 27,049.28, 40,580.32 and 8,581.28

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Solution

The fourth proportional to 27,049.28, 40,580.32 and 8,581.28 is: 12,873.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,049.28 : 40,580.32 = 8,581.28 : x
  2. Step 2: Convert to fraction form
    27,049.28/40,580.32 = 8,581.28/x
  3. Step 3: Cross multiply
    27,049.28x = 40,580.32 × 8,581.28
  4. Step 4: Simplify right side
    27,049.28x = 348,231,088.41
  5. Step 5: Solve for x
    x = 348,231,088.41/27,049.28
  6. Step 6: Final answer
    x = 12,873.95

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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.