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Finding the Fourth Proportional to 49,405.90, 68,180.10 and 27,049.90

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Solution

The fourth proportional to 49,405.90, 68,180.10 and 27,049.90 is: 37,328.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,405.90 : 68,180.10 = 27,049.90 : x
  2. Step 2: Convert to fraction form
    49,405.90/68,180.10 = 27,049.90/x
  3. Step 3: Cross multiply
    49,405.90x = 68,180.10 × 27,049.90
  4. Step 4: Simplify right side
    49,405.90x = 1,844,264,886.99
  5. Step 5: Solve for x
    x = 1,844,264,886.99/49,405.90
  6. Step 6: Final answer
    x = 37,328.84

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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.