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Finding the Fourth Proportional to 89,313, 123,251.94 and 49,569

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Solution

The fourth proportional to 89,313, 123,251.94 and 49,569 is: 68,405.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,313 : 123,251.94 = 49,569 : x
  2. Step 2: Convert to fraction form
    89,313/123,251.94 = 49,569/x
  3. Step 3: Cross multiply
    89,313x = 123,251.94 × 49,569
  4. Step 4: Simplify right side
    89,313x = 6,109,475,413.86
  5. Step 5: Solve for x
    x = 6,109,475,413.86/89,313
  6. Step 6: Final answer
    x = 68,405.22

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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.