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Finding the Fourth Proportional to 49,135.28, 67,806.92 and 27,915.71

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Solution

The fourth proportional to 49,135.28, 67,806.92 and 27,915.71 is: 38,523.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,135.28 : 67,806.92 = 27,915.71 : x
  2. Step 2: Convert to fraction form
    49,135.28/67,806.92 = 27,915.71/x
  3. Step 3: Cross multiply
    49,135.28x = 67,806.92 × 27,915.71
  4. Step 4: Simplify right side
    49,135.28x = 1,892,878,314.71
  5. Step 5: Solve for x
    x = 1,892,878,314.71/49,135.28
  6. Step 6: Final answer
    x = 38,523.81

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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.