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Finding the Fourth Proportional to 97,249.98, 145,932.36 and 41,086.44

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Solution

The fourth proportional to 97,249.98, 145,932.36 and 41,086.44 is: 61,653.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,249.98 : 145,932.36 = 41,086.44 : x
  2. Step 2: Convert to fraction form
    97,249.98/145,932.36 = 41,086.44/x
  3. Step 3: Cross multiply
    97,249.98x = 145,932.36 × 41,086.44
  4. Step 4: Simplify right side
    97,249.98x = 5,995,841,153.20
  5. Step 5: Solve for x
    x = 5,995,841,153.20/97,249.98
  6. Step 6: Final answer
    x = 61,653.91

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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.