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Finding the Fourth Proportional to 114,046.10, 171,020.22 and 39,173.78

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Solution

The fourth proportional to 114,046.10, 171,020.22 and 39,173.78 is: 58,743.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,046.10 : 171,020.22 = 39,173.78 : x
  2. Step 2: Convert to fraction form
    114,046.10/171,020.22 = 39,173.78/x
  3. Step 3: Cross multiply
    114,046.10x = 171,020.22 × 39,173.78
  4. Step 4: Simplify right side
    114,046.10x = 6,699,508,473.83
  5. Step 5: Solve for x
    x = 6,699,508,473.83/114,046.10
  6. Step 6: Final answer
    x = 58,743.86

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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.