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Finding the Fourth Proportional to 73,627, 110,398.38 and 34,163.80

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Solution

The fourth proportional to 73,627, 110,398.38 and 34,163.80 is: 51,226.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,627 : 110,398.38 = 34,163.80 : x
  2. Step 2: Convert to fraction form
    73,627/110,398.38 = 34,163.80/x
  3. Step 3: Cross multiply
    73,627x = 110,398.38 × 34,163.80
  4. Step 4: Simplify right side
    73,627x = 3,771,628,174.64
  5. Step 5: Solve for x
    x = 3,771,628,174.64/73,627
  6. Step 6: Final answer
    x = 51,226.16

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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.