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Finding the Fourth Proportional to 89,777.84, 123,893.38 and 49,492.28

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Solution

The fourth proportional to 89,777.84, 123,893.38 and 49,492.28 is: 68,299.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,777.84 : 123,893.38 = 49,492.28 : x
  2. Step 2: Convert to fraction form
    89,777.84/123,893.38 = 49,492.28/x
  3. Step 3: Cross multiply
    89,777.84x = 123,893.38 × 49,492.28
  4. Step 4: Simplify right side
    89,777.84x = 6,131,766,224.71
  5. Step 5: Solve for x
    x = 6,131,766,224.71/89,777.84
  6. Step 6: Final answer
    x = 68,299.33

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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.