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Finding the Fourth Proportional to 27,827.31, 41,748.27 and 8,106.03

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Solution

The fourth proportional to 27,827.31, 41,748.27 and 8,106.03 is: 12,161.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,827.31 : 41,748.27 = 8,106.03 : x
  2. Step 2: Convert to fraction form
    27,827.31/41,748.27 = 8,106.03/x
  3. Step 3: Cross multiply
    27,827.31x = 41,748.27 × 8,106.03
  4. Step 4: Simplify right side
    27,827.31x = 338,412,729.07
  5. Step 5: Solve for x
    x = 338,412,729.07/27,827.31
  6. Step 6: Final answer
    x = 12,161.17

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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.