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Finding the Fourth Proportional to 137,572.70, 206,359.31 and 37,734.26

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Solution

The fourth proportional to 137,572.70, 206,359.31 and 37,734.26 is: 56,601.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,572.70 : 206,359.31 = 37,734.26 : x
  2. Step 2: Convert to fraction form
    137,572.70/206,359.31 = 37,734.26/x
  3. Step 3: Cross multiply
    137,572.70x = 206,359.31 × 37,734.26
  4. Step 4: Simplify right side
    137,572.70x = 7,786,814,919.50
  5. Step 5: Solve for x
    x = 7,786,814,919.50/137,572.70
  6. Step 6: Final answer
    x = 56,601.46

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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.