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Finding the Fourth Proportional to 45,523.92, 62,827.12 and 27,623.44

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Solution

The fourth proportional to 45,523.92, 62,827.12 and 27,623.44 is: 38,122.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,523.92 : 62,827.12 = 27,623.44 : x
  2. Step 2: Convert to fraction form
    45,523.92/62,827.12 = 27,623.44/x
  3. Step 3: Cross multiply
    45,523.92x = 62,827.12 × 27,623.44
  4. Step 4: Simplify right side
    45,523.92x = 1,735,501,179.69
  5. Step 5: Solve for x
    x = 1,735,501,179.69/45,523.92
  6. Step 6: Final answer
    x = 38,122.84

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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.