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Finding the Fourth Proportional to 83,195.63, 114,809.97 and 45,469.88

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Solution

The fourth proportional to 83,195.63, 114,809.97 and 45,469.88 is: 62,748.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,195.63 : 114,809.97 = 45,469.88 : x
  2. Step 2: Convert to fraction form
    83,195.63/114,809.97 = 45,469.88/x
  3. Step 3: Cross multiply
    83,195.63x = 114,809.97 × 45,469.88
  4. Step 4: Simplify right side
    83,195.63x = 5,220,395,558.70
  5. Step 5: Solve for x
    x = 5,220,395,558.70/83,195.63
  6. Step 6: Final answer
    x = 62,748.43

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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.