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Finding the Fourth Proportional to 49,452, 68,243.76 and 27,095.52

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Solution

The fourth proportional to 49,452, 68,243.76 and 27,095.52 is: 37,391.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,452 : 68,243.76 = 27,095.52 : x
  2. Step 2: Convert to fraction form
    49,452/68,243.76 = 27,095.52/x
  3. Step 3: Cross multiply
    49,452x = 68,243.76 × 27,095.52
  4. Step 4: Simplify right side
    49,452x = 1,849,100,163.96
  5. Step 5: Solve for x
    x = 1,849,100,163.96/49,452
  6. Step 6: Final answer
    x = 37,391.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.