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Finding the Fourth Proportional to 137,586.46, 206,379.96 and 37,748.02

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Solution

The fourth proportional to 137,586.46, 206,379.96 and 37,748.02 is: 56,622.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,586.46 : 206,379.96 = 37,748.02 : x
  2. Step 2: Convert to fraction form
    137,586.46/206,379.96 = 37,748.02/x
  3. Step 3: Cross multiply
    137,586.46x = 206,379.96 × 37,748.02
  4. Step 4: Simplify right side
    137,586.46x = 7,790,434,857.68
  5. Step 5: Solve for x
    x = 7,790,434,857.68/137,586.46
  6. Step 6: Final answer
    x = 56,622.10

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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.