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Finding the Fourth Proportional to 49,270.32, 67,992 and 28,049.28

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Solution

The fourth proportional to 49,270.32, 67,992 and 28,049.28 is: 38,707.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,270.32 : 67,992 = 28,049.28 : x
  2. Step 2: Convert to fraction form
    49,270.32/67,992 = 28,049.28/x
  3. Step 3: Cross multiply
    49,270.32x = 67,992 × 28,049.28
  4. Step 4: Simplify right side
    49,270.32x = 1,907,126,645.76
  5. Step 5: Solve for x
    x = 1,907,126,645.76/49,270.32
  6. Step 6: Final answer
    x = 38,707.41

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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.