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Finding the Fourth Proportional to 36,098.64, 49,817.97 and 20,182.14

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Solution

The fourth proportional to 36,098.64, 49,817.97 and 20,182.14 is: 27,852.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,098.64 : 49,817.97 = 20,182.14 : x
  2. Step 2: Convert to fraction form
    36,098.64/49,817.97 = 20,182.14/x
  3. Step 3: Cross multiply
    36,098.64x = 49,817.97 × 20,182.14
  4. Step 4: Simplify right side
    36,098.64x = 1,005,433,245.06
  5. Step 5: Solve for x
    x = 1,005,433,245.06/36,098.64
  6. Step 6: Final answer
    x = 27,852.39

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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.