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Finding the Fourth Proportional to 89,774.98, 123,889.46 and 49,489.42

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Solution

The fourth proportional to 89,774.98, 123,889.46 and 49,489.42 is: 68,295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,774.98 : 123,889.46 = 49,489.42 : x
  2. Step 2: Convert to fraction form
    89,774.98/123,889.46 = 49,489.42/x
  3. Step 3: Cross multiply
    89,774.98x = 123,889.46 × 49,489.42
  4. Step 4: Simplify right side
    89,774.98x = 6,131,217,519.51
  5. Step 5: Solve for x
    x = 6,131,217,519.51/89,774.98
  6. Step 6: Final answer
    x = 68,295.39

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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.