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Finding the Fourth Proportional to 36,951, 50,992.64 and 20,184

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Solution

The fourth proportional to 36,951, 50,992.64 and 20,184 is: 27,854.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,951 : 50,992.64 = 20,184 : x
  2. Step 2: Convert to fraction form
    36,951/50,992.64 = 20,184/x
  3. Step 3: Cross multiply
    36,951x = 50,992.64 × 20,184
  4. Step 4: Simplify right side
    36,951x = 1,029,235,445.76
  5. Step 5: Solve for x
    x = 1,029,235,445.76/36,951
  6. Step 6: Final answer
    x = 27,854.06

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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.