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Finding the Fourth Proportional to 89,678.50, 123,761.94 and 49,392.25

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Solution

The fourth proportional to 89,678.50, 123,761.94 and 49,392.25 is: 68,164.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,678.50 : 123,761.94 = 49,392.25 : x
  2. Step 2: Convert to fraction form
    89,678.50/123,761.94 = 49,392.25/x
  3. Step 3: Cross multiply
    89,678.50x = 123,761.94 × 49,392.25
  4. Step 4: Simplify right side
    89,678.50x = 6,112,880,680.97
  5. Step 5: Solve for x
    x = 6,112,880,680.97/89,678.50
  6. Step 6: Final answer
    x = 68,164.39

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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.