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Finding the Fourth Proportional to 89,738, 123,841 and 49,996.56

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Solution

The fourth proportional to 89,738, 123,841 and 49,996.56 is: 68,996.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,738 : 123,841 = 49,996.56 : x
  2. Step 2: Convert to fraction form
    89,738/123,841 = 49,996.56/x
  3. Step 3: Cross multiply
    89,738x = 123,841 × 49,996.56
  4. Step 4: Simplify right side
    89,738x = 6,191,623,986.96
  5. Step 5: Solve for x
    x = 6,191,623,986.96/89,738
  6. Step 6: Final answer
    x = 68,996.68

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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.