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Finding the Fourth Proportional to 36,200.24, 49,955.84 and 20,285

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Solution

The fourth proportional to 36,200.24, 49,955.84 and 20,285 is: 27,993.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,200.24 : 49,955.84 = 20,285 : x
  2. Step 2: Convert to fraction form
    36,200.24/49,955.84 = 20,285/x
  3. Step 3: Cross multiply
    36,200.24x = 49,955.84 × 20,285
  4. Step 4: Simplify right side
    36,200.24x = 1,013,354,214.40
  5. Step 5: Solve for x
    x = 1,013,354,214.40/36,200.24
  6. Step 6: Final answer
    x = 27,993.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.