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Finding the Fourth Proportional to 27,648.68, 41,464.52 and 7,921.94

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Solution

The fourth proportional to 27,648.68, 41,464.52 and 7,921.94 is: 11,880.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,648.68 : 41,464.52 = 7,921.94 : x
  2. Step 2: Convert to fraction form
    27,648.68/41,464.52 = 7,921.94/x
  3. Step 3: Cross multiply
    27,648.68x = 41,464.52 × 7,921.94
  4. Step 4: Simplify right side
    27,648.68x = 328,479,439.57
  5. Step 5: Solve for x
    x = 328,479,439.57/27,648.68
  6. Step 6: Final answer
    x = 11,880.47

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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.