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Finding the Fourth Proportional to 137,632.26, 206,448 and 37,792.56

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Solution

The fourth proportional to 137,632.26, 206,448 and 37,792.56 is: 56,688.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,632.26 : 206,448 = 37,792.56 : x
  2. Step 2: Convert to fraction form
    137,632.26/206,448 = 37,792.56/x
  3. Step 3: Cross multiply
    137,632.26x = 206,448 × 37,792.56
  4. Step 4: Simplify right side
    137,632.26x = 7,802,198,426.88
  5. Step 5: Solve for x
    x = 7,802,198,426.88/137,632.26
  6. Step 6: Final answer
    x = 56,688.73

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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.