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Finding the Fourth Proportional to 49,208.24, 67,906.74 and 27,697.88

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Solution

The fourth proportional to 49,208.24, 67,906.74 and 27,697.88 is: 38,222.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,208.24 : 67,906.74 = 27,697.88 : x
  2. Step 2: Convert to fraction form
    49,208.24/67,906.74 = 27,697.88/x
  3. Step 3: Cross multiply
    49,208.24x = 67,906.74 × 27,697.88
  4. Step 4: Simplify right side
    49,208.24x = 1,880,872,735.71
  5. Step 5: Solve for x
    x = 1,880,872,735.71/49,208.24
  6. Step 6: Final answer
    x = 38,222.72

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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.