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Finding the Fourth Proportional to 137,589.50, 206,370.42 and 37,759.74

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Solution

The fourth proportional to 137,589.50, 206,370.42 and 37,759.74 is: 56,635.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,589.50 : 206,370.42 = 37,759.74 : x
  2. Step 2: Convert to fraction form
    137,589.50/206,370.42 = 37,759.74/x
  3. Step 3: Cross multiply
    137,589.50x = 206,370.42 × 37,759.74
  4. Step 4: Simplify right side
    137,589.50x = 7,792,493,402.89
  5. Step 5: Solve for x
    x = 7,792,493,402.89/137,589.50
  6. Step 6: Final answer
    x = 56,635.82

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