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Finding the Fourth Proportional to 27,233.80, 40,850.70 and 16,865.80

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Solution

The fourth proportional to 27,233.80, 40,850.70 and 16,865.80 is: 25,298.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,233.80 : 40,850.70 = 16,865.80 : x
  2. Step 2: Convert to fraction form
    27,233.80/40,850.70 = 16,865.80/x
  3. Step 3: Cross multiply
    27,233.80x = 40,850.70 × 16,865.80
  4. Step 4: Simplify right side
    27,233.80x = 688,979,736.06
  5. Step 5: Solve for x
    x = 688,979,736.06/27,233.80
  6. Step 6: Final answer
    x = 25,298.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.