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Finding the Fourth Proportional to 27,762.24, 41,649.57 and 8,042.31

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Solution

The fourth proportional to 27,762.24, 41,649.57 and 8,042.31 is: 12,065.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,762.24 : 41,649.57 = 8,042.31 : x
  2. Step 2: Convert to fraction form
    27,762.24/41,649.57 = 8,042.31/x
  3. Step 3: Cross multiply
    27,762.24x = 41,649.57 × 8,042.31
  4. Step 4: Simplify right side
    27,762.24x = 334,958,753.31
  5. Step 5: Solve for x
    x = 334,958,753.31/27,762.24
  6. Step 6: Final answer
    x = 12,065.26

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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.