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Finding the Fourth Proportional to 137,832.62, 206,763.23 and 37,992.83

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Solution

The fourth proportional to 137,832.62, 206,763.23 and 37,992.83 is: 56,993.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,832.62 : 206,763.23 = 37,992.83 : x
  2. Step 2: Convert to fraction form
    137,832.62/206,763.23 = 37,992.83/x
  3. Step 3: Cross multiply
    137,832.62x = 206,763.23 × 37,992.83
  4. Step 4: Simplify right side
    137,832.62x = 7,855,520,247.64
  5. Step 5: Solve for x
    x = 7,855,520,247.64/137,832.62
  6. Step 6: Final answer
    x = 56,993.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.