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Finding the Fourth Proportional to 50,221.92, 69,310.08 and 27,865.92

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Solution

The fourth proportional to 50,221.92, 69,310.08 and 27,865.92 is: 38,457.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,221.92 : 69,310.08 = 27,865.92 : x
  2. Step 2: Convert to fraction form
    50,221.92/69,310.08 = 27,865.92/x
  3. Step 3: Cross multiply
    50,221.92x = 69,310.08 × 27,865.92
  4. Step 4: Simplify right side
    50,221.92x = 1,931,389,144.47
  5. Step 5: Solve for x
    x = 1,931,389,144.47/50,221.92
  6. Step 6: Final answer
    x = 38,457.09

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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.