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Finding the Fourth Proportional to 51,454.28, 70,991.16 and 33,542.84

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Solution

The fourth proportional to 51,454.28, 70,991.16 and 33,542.84 is: 46,278.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,454.28 : 70,991.16 = 33,542.84 : x
  2. Step 2: Convert to fraction form
    51,454.28/70,991.16 = 33,542.84/x
  3. Step 3: Cross multiply
    51,454.28x = 70,991.16 × 33,542.84
  4. Step 4: Simplify right side
    51,454.28x = 2,381,245,121.29
  5. Step 5: Solve for x
    x = 2,381,245,121.29/51,454.28
  6. Step 6: Final answer
    x = 46,278.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.