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Finding the Fourth Proportional to 36,080.52, 49,791 and 20,164.98

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Solution

The fourth proportional to 36,080.52, 49,791 and 20,164.98 is: 27,827.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,080.52 : 49,791 = 20,164.98 : x
  2. Step 2: Convert to fraction form
    36,080.52/49,791 = 20,164.98/x
  3. Step 3: Cross multiply
    36,080.52x = 49,791 × 20,164.98
  4. Step 4: Simplify right side
    36,080.52x = 1,004,034,519.18
  5. Step 5: Solve for x
    x = 1,004,034,519.18/36,080.52
  6. Step 6: Final answer
    x = 27,827.61

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1.5x scale

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.