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Finding the Fourth Proportional to 97,496.97, 146,245.49 and 35,167.47

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Solution

The fourth proportional to 97,496.97, 146,245.49 and 35,167.47 is: 52,751.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,496.97 : 146,245.49 = 35,167.47 : x
  2. Step 2: Convert to fraction form
    97,496.97/146,245.49 = 35,167.47/x
  3. Step 3: Cross multiply
    97,496.97x = 146,245.49 × 35,167.47
  4. Step 4: Simplify right side
    97,496.97x = 5,143,083,882.21
  5. Step 5: Solve for x
    x = 5,143,083,882.21/97,496.97
  6. Step 6: Final answer
    x = 52,751.22

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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.