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Finding the Fourth Proportional to 137,593.44, 206,390.44 and 37,755

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Solution

The fourth proportional to 137,593.44, 206,390.44 and 37,755 is: 56,632.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,593.44 : 206,390.44 = 37,755 : x
  2. Step 2: Convert to fraction form
    137,593.44/206,390.44 = 37,755/x
  3. Step 3: Cross multiply
    137,593.44x = 206,390.44 × 37,755
  4. Step 4: Simplify right side
    137,593.44x = 7,792,271,062.20
  5. Step 5: Solve for x
    x = 7,792,271,062.20/137,593.44
  6. Step 6: Final answer
    x = 56,632.58

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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.