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Finding the Fourth Proportional to 88,960.50, 122,765.49 and 49,216.50

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Solution

The fourth proportional to 88,960.50, 122,765.49 and 49,216.50 is: 67,918.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,960.50 : 122,765.49 = 49,216.50 : x
  2. Step 2: Convert to fraction form
    88,960.50/122,765.49 = 49,216.50/x
  3. Step 3: Cross multiply
    88,960.50x = 122,765.49 × 49,216.50
  4. Step 4: Simplify right side
    88,960.50x = 6,042,087,738.59
  5. Step 5: Solve for x
    x = 6,042,087,738.59/88,960.50
  6. Step 6: Final answer
    x = 67,918.77

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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.