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Finding the Fourth Proportional to 47,694.46, 65,821.34 and 27,552.20

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Solution

The fourth proportional to 47,694.46, 65,821.34 and 27,552.20 is: 38,023.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,694.46 : 65,821.34 = 27,552.20 : x
  2. Step 2: Convert to fraction form
    47,694.46/65,821.34 = 27,552.20/x
  3. Step 3: Cross multiply
    47,694.46x = 65,821.34 × 27,552.20
  4. Step 4: Simplify right side
    47,694.46x = 1,813,522,723.95
  5. Step 5: Solve for x
    x = 1,813,522,723.95/47,694.46
  6. Step 6: Final answer
    x = 38,023.76

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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.