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Finding the Fourth Proportional to 27,048, 40,573.84 and 8,326.88

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Solution

The fourth proportional to 27,048, 40,573.84 and 8,326.88 is: 12,490.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,048 : 40,573.84 = 8,326.88 : x
  2. Step 2: Convert to fraction form
    27,048/40,573.84 = 8,326.88/x
  3. Step 3: Cross multiply
    27,048x = 40,573.84 × 8,326.88
  4. Step 4: Simplify right side
    27,048x = 337,853,496.82
  5. Step 5: Solve for x
    x = 337,853,496.82/27,048
  6. Step 6: Final answer
    x = 12,490.89

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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.