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Finding the Fourth Proportional to 54,696.50, 75,481.21 and 29,546

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Solution

The fourth proportional to 54,696.50, 75,481.21 and 29,546 is: 40,773.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,696.50 : 75,481.21 = 29,546 : x
  2. Step 2: Convert to fraction form
    54,696.50/75,481.21 = 29,546/x
  3. Step 3: Cross multiply
    54,696.50x = 75,481.21 × 29,546
  4. Step 4: Simplify right side
    54,696.50x = 2,230,167,830.66
  5. Step 5: Solve for x
    x = 2,230,167,830.66/54,696.50
  6. Step 6: Final answer
    x = 40,773.50

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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.