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Finding the Fourth Proportional to 36,197.64, 49,952.16 and 20,282

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Solution

The fourth proportional to 36,197.64, 49,952.16 and 20,282 is: 27,988.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,197.64 : 49,952.16 = 20,282 : x
  2. Step 2: Convert to fraction form
    36,197.64/49,952.16 = 20,282/x
  3. Step 3: Cross multiply
    36,197.64x = 49,952.16 × 20,282
  4. Step 4: Simplify right side
    36,197.64x = 1,013,129,709.12
  5. Step 5: Solve for x
    x = 1,013,129,709.12/36,197.64
  6. Step 6: Final answer
    x = 27,988.83

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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.