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Finding the Fourth Proportional to 27,050.94, 40,576.42 and 8,581.50

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Solution

The fourth proportional to 27,050.94, 40,576.42 and 8,581.50 is: 12,872.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,050.94 : 40,576.42 = 8,581.50 : x
  2. Step 2: Convert to fraction form
    27,050.94/40,576.42 = 8,581.50/x
  3. Step 3: Cross multiply
    27,050.94x = 40,576.42 × 8,581.50
  4. Step 4: Simplify right side
    27,050.94x = 348,206,548.23
  5. Step 5: Solve for x
    x = 348,206,548.23/27,050.94
  6. Step 6: Final answer
    x = 12,872.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.