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Finding the Fourth Proportional to 49,274.48, 67,997.10 and 28,049.64

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Solution

The fourth proportional to 49,274.48, 67,997.10 and 28,049.64 is: 38,707.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,274.48 : 67,997.10 = 28,049.64 : x
  2. Step 2: Convert to fraction form
    49,274.48/67,997.10 = 28,049.64/x
  3. Step 3: Cross multiply
    49,274.48x = 67,997.10 × 28,049.64
  4. Step 4: Simplify right side
    49,274.48x = 1,907,294,176.04
  5. Step 5: Solve for x
    x = 1,907,294,176.04/49,274.48
  6. Step 6: Final answer
    x = 38,707.55

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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.