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Finding the Fourth Proportional to 89,578, 123,617.76 and 49,834

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Solution

The fourth proportional to 89,578, 123,617.76 and 49,834 is: 68,770.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,578 : 123,617.76 = 49,834 : x
  2. Step 2: Convert to fraction form
    89,578/123,617.76 = 49,834/x
  3. Step 3: Cross multiply
    89,578x = 123,617.76 × 49,834
  4. Step 4: Simplify right side
    89,578x = 6,160,367,451.84
  5. Step 5: Solve for x
    x = 6,160,367,451.84/89,578
  6. Step 6: Final answer
    x = 68,770.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.