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Finding the Fourth Proportional to 27,762.46, 41,650.36 and 8,042.38

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Solution

The fourth proportional to 27,762.46, 41,650.36 and 8,042.38 is: 12,065.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,762.46 : 41,650.36 = 8,042.38 : x
  2. Step 2: Convert to fraction form
    27,762.46/41,650.36 = 8,042.38/x
  3. Step 3: Cross multiply
    27,762.46x = 41,650.36 × 8,042.38
  4. Step 4: Simplify right side
    27,762.46x = 334,968,022.26
  5. Step 5: Solve for x
    x = 334,968,022.26/27,762.46
  6. Step 6: Final answer
    x = 12,065.50

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Why These Related Problems?

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