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Finding the Fourth Proportional to 49,131.91, 67,802.26 and 27,912.34

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Solution

The fourth proportional to 49,131.91, 67,802.26 and 27,912.34 is: 38,519.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,131.91 : 67,802.26 = 27,912.34 : x
  2. Step 2: Convert to fraction form
    49,131.91/67,802.26 = 27,912.34/x
  3. Step 3: Cross multiply
    49,131.91x = 67,802.26 × 27,912.34
  4. Step 4: Simplify right side
    49,131.91x = 1,892,519,341.30
  5. Step 5: Solve for x
    x = 1,892,519,341.30/49,131.91
  6. Step 6: Final answer
    x = 38,519.15

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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.