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Finding the Fourth Proportional to 36,952, 50,993.76 and 20,184.96

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Solution

The fourth proportional to 36,952, 50,993.76 and 20,184.96 is: 27,855.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,952 : 50,993.76 = 20,184.96 : x
  2. Step 2: Convert to fraction form
    36,952/50,993.76 = 20,184.96/x
  3. Step 3: Cross multiply
    36,952x = 50,993.76 × 20,184.96
  4. Step 4: Simplify right side
    36,952x = 1,029,307,005.85
  5. Step 5: Solve for x
    x = 1,029,307,005.85/36,952
  6. Step 6: Final answer
    x = 27,855.24

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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.