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Finding the Fourth Proportional to 50,635.76, 69,876.12 and 27,976.92

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Solution

The fourth proportional to 50,635.76, 69,876.12 and 27,976.92 is: 38,607.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,635.76 : 69,876.12 = 27,976.92 : x
  2. Step 2: Convert to fraction form
    50,635.76/69,876.12 = 27,976.92/x
  3. Step 3: Cross multiply
    50,635.76x = 69,876.12 × 27,976.92
  4. Step 4: Simplify right side
    50,635.76x = 1,954,918,619.15
  5. Step 5: Solve for x
    x = 1,954,918,619.15/50,635.76
  6. Step 6: Final answer
    x = 38,607.47

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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.