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Finding the Fourth Proportional to 54,761.20, 76,821.20 and 54,761.20

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Solution

The fourth proportional to 54,761.20, 76,821.20 and 54,761.20 is: 76,821.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,761.20 : 76,821.20 = 54,761.20 : x
  2. Step 2: Convert to fraction form
    54,761.20/76,821.20 = 54,761.20/x
  3. Step 3: Cross multiply
    54,761.20x = 76,821.20 × 54,761.20
  4. Step 4: Simplify right side
    54,761.20x = 4,206,821,097.44
  5. Step 5: Solve for x
    x = 4,206,821,097.44/54,761.20
  6. Step 6: Final answer
    x = 76,821.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.