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Finding the Fourth Proportional to 137,589.00, 206,369.67 and 37,759.24

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Solution

The fourth proportional to 137,589.00, 206,369.67 and 37,759.24 is: 56,635.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,589.00 : 206,369.67 = 37,759.24 : x
  2. Step 2: Convert to fraction form
    137,589.00/206,369.67 = 37,759.24/x
  3. Step 3: Cross multiply
    137,589.00x = 206,369.67 × 37,759.24
  4. Step 4: Simplify right side
    137,589.00x = 7,792,361,898.25
  5. Step 5: Solve for x
    x = 7,792,361,898.25/137,589.00
  6. Step 6: Final answer
    x = 56,635.07

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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.