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Finding the Fourth Proportional to 51,180, 76,759.41 and 13,731.20

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Solution

The fourth proportional to 51,180, 76,759.41 and 13,731.20 is: 20,593.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,180 : 76,759.41 = 13,731.20 : x
  2. Step 2: Convert to fraction form
    51,180/76,759.41 = 13,731.20/x
  3. Step 3: Cross multiply
    51,180x = 76,759.41 × 13,731.20
  4. Step 4: Simplify right side
    51,180x = 1,053,998,810.59
  5. Step 5: Solve for x
    x = 1,053,998,810.59/51,180
  6. Step 6: Final answer
    x = 20,593.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.