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Finding the Fourth Proportional to 78,046.44, 117,053.46 and 27,452.22

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Solution

The fourth proportional to 78,046.44, 117,053.46 and 27,452.22 is: 41,172.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,046.44 : 117,053.46 = 27,452.22 : x
  2. Step 2: Convert to fraction form
    78,046.44/117,053.46 = 27,452.22/x
  3. Step 3: Cross multiply
    78,046.44x = 117,053.46 × 27,452.22
  4. Step 4: Simplify right side
    78,046.44x = 3,213,377,335.68
  5. Step 5: Solve for x
    x = 3,213,377,335.68/78,046.44
  6. Step 6: Final answer
    x = 41,172.63

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1.5x scale

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.