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Finding the Fourth Proportional to 36,952, 50,994.08 and 20,185

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Solution

The fourth proportional to 36,952, 50,994.08 and 20,185 is: 27,855.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,952 : 50,994.08 = 20,185 : x
  2. Step 2: Convert to fraction form
    36,952/50,994.08 = 20,185/x
  3. Step 3: Cross multiply
    36,952x = 50,994.08 × 20,185
  4. Step 4: Simplify right side
    36,952x = 1,029,315,504.80
  5. Step 5: Solve for x
    x = 1,029,315,504.80/36,952
  6. Step 6: Final answer
    x = 27,855.47

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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.