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Finding the Fourth Proportional to 49,782.96, 68,700.20 and 27,121.90

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Solution

The fourth proportional to 49,782.96, 68,700.20 and 27,121.90 is: 37,428.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,782.96 : 68,700.20 = 27,121.90 : x
  2. Step 2: Convert to fraction form
    49,782.96/68,700.20 = 27,121.90/x
  3. Step 3: Cross multiply
    49,782.96x = 68,700.20 × 27,121.90
  4. Step 4: Simplify right side
    49,782.96x = 1,863,279,954.38
  5. Step 5: Solve for x
    x = 1,863,279,954.38/49,782.96
  6. Step 6: Final answer
    x = 37,428.07

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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.