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Finding the Fourth Proportional to 27,762.62, 41,642.71 and 8,040.74

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Solution

The fourth proportional to 27,762.62, 41,642.71 and 8,040.74 is: 12,060.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,762.62 : 41,642.71 = 8,040.74 : x
  2. Step 2: Convert to fraction form
    27,762.62/41,642.71 = 8,040.74/x
  3. Step 3: Cross multiply
    27,762.62x = 41,642.71 × 8,040.74
  4. Step 4: Simplify right side
    27,762.62x = 334,837,975.69
  5. Step 5: Solve for x
    x = 334,837,975.69/27,762.62
  6. Step 6: Final answer
    x = 12,060.75

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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.