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Finding the Fourth Proportional to 49,831.92, 68,767.80 and 27,475.92

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Solution

The fourth proportional to 49,831.92, 68,767.80 and 27,475.92 is: 37,916.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,831.92 : 68,767.80 = 27,475.92 : x
  2. Step 2: Convert to fraction form
    49,831.92/68,767.80 = 27,475.92/x
  3. Step 3: Cross multiply
    49,831.92x = 68,767.80 × 27,475.92
  4. Step 4: Simplify right side
    49,831.92x = 1,889,458,571.38
  5. Step 5: Solve for x
    x = 1,889,458,571.38/49,831.92
  6. Step 6: Final answer
    x = 37,916.63

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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.