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Finding the Fourth Proportional to 54,697.78, 82,046.70 and 17,761.78

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Solution

The fourth proportional to 54,697.78, 82,046.70 and 17,761.78 is: 26,642.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,697.78 : 82,046.70 = 17,761.78 : x
  2. Step 2: Convert to fraction form
    54,697.78/82,046.70 = 17,761.78/x
  3. Step 3: Cross multiply
    54,697.78x = 82,046.70 × 17,761.78
  4. Step 4: Simplify right side
    54,697.78x = 1,457,295,435.13
  5. Step 5: Solve for x
    x = 1,457,295,435.13/54,697.78
  6. Step 6: Final answer
    x = 26,642.68

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Why These Related Problems?

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