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Finding the Fourth Proportional to 27,756.12, 41,627.70 and 8,029.38

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Solution

The fourth proportional to 27,756.12, 41,627.70 and 8,029.38 is: 12,042.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,756.12 : 41,627.70 = 8,029.38 : x
  2. Step 2: Convert to fraction form
    27,756.12/41,627.70 = 8,029.38/x
  3. Step 3: Cross multiply
    27,756.12x = 41,627.70 × 8,029.38
  4. Step 4: Simplify right side
    27,756.12x = 334,244,621.83
  5. Step 5: Solve for x
    x = 334,244,621.83/27,756.12
  6. Step 6: Final answer
    x = 12,042.20

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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.