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Finding the Fourth Proportional to 36,588.38, 50,492.16 and 19,821.38

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Solution

The fourth proportional to 36,588.38, 50,492.16 and 19,821.38 is: 27,353.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,588.38 : 50,492.16 = 19,821.38 : x
  2. Step 2: Convert to fraction form
    36,588.38/50,492.16 = 19,821.38/x
  3. Step 3: Cross multiply
    36,588.38x = 50,492.16 × 19,821.38
  4. Step 4: Simplify right side
    36,588.38x = 1,000,824,037.92
  5. Step 5: Solve for x
    x = 1,000,824,037.92/36,588.38
  6. Step 6: Final answer
    x = 27,353.61

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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.