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Finding the Fourth Proportional to 40,522.84, 55,947.20 and 27,797.34

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Solution

The fourth proportional to 40,522.84, 55,947.20 and 27,797.34 is: 38,377.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,522.84 : 55,947.20 = 27,797.34 : x
  2. Step 2: Convert to fraction form
    40,522.84/55,947.20 = 27,797.34/x
  3. Step 3: Cross multiply
    40,522.84x = 55,947.20 × 27,797.34
  4. Step 4: Simplify right side
    40,522.84x = 1,555,183,340.45
  5. Step 5: Solve for x
    x = 1,555,183,340.45/40,522.84
  6. Step 6: Final answer
    x = 38,377.95

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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.