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Finding the Fourth Proportional to 49,134.71, 67,806.12 and 27,915.14

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Solution

The fourth proportional to 49,134.71, 67,806.12 and 27,915.14 is: 38,523.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,134.71 : 67,806.12 = 27,915.14 : x
  2. Step 2: Convert to fraction form
    49,134.71/67,806.12 = 27,915.14/x
  3. Step 3: Cross multiply
    49,134.71x = 67,806.12 × 27,915.14
  4. Step 4: Simplify right side
    49,134.71x = 1,892,816,993.63
  5. Step 5: Solve for x
    x = 1,892,816,993.63/49,134.71
  6. Step 6: Final answer
    x = 38,523.02

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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.