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Finding the Fourth Proportional to 89,224.38, 123,133.09 and 48,939.84

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Solution

The fourth proportional to 89,224.38, 123,133.09 and 48,939.84 is: 67,538.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,224.38 : 123,133.09 = 48,939.84 : x
  2. Step 2: Convert to fraction form
    89,224.38/123,133.09 = 48,939.84/x
  3. Step 3: Cross multiply
    89,224.38x = 123,133.09 × 48,939.84
  4. Step 4: Simplify right side
    89,224.38x = 6,026,113,723.31
  5. Step 5: Solve for x
    x = 6,026,113,723.31/89,224.38
  6. Step 6: Final answer
    x = 67,538.87

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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.