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Finding the Fourth Proportional to 83,169.75, 114,777.09 and 45,446.43

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Solution

The fourth proportional to 83,169.75, 114,777.09 and 45,446.43 is: 62,717.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,169.75 : 114,777.09 = 45,446.43 : x
  2. Step 2: Convert to fraction form
    83,169.75/114,777.09 = 45,446.43/x
  3. Step 3: Cross multiply
    83,169.75x = 114,777.09 × 45,446.43
  4. Step 4: Simplify right side
    83,169.75x = 5,216,208,986.29
  5. Step 5: Solve for x
    x = 5,216,208,986.29/83,169.75
  6. Step 6: Final answer
    x = 62,717.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.