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Finding the Fourth Proportional to 89,198.82, 123,098.10 and 48,914.13

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Solution

The fourth proportional to 89,198.82, 123,098.10 and 48,914.13 is: 67,503.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,198.82 : 123,098.10 = 48,914.13 : x
  2. Step 2: Convert to fraction form
    89,198.82/123,098.10 = 48,914.13/x
  3. Step 3: Cross multiply
    89,198.82x = 123,098.10 × 48,914.13
  4. Step 4: Simplify right side
    89,198.82x = 6,021,236,466.15
  5. Step 5: Solve for x
    x = 6,021,236,466.15/89,198.82
  6. Step 6: Final answer
    x = 67,503.54

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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.