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Finding the Fourth Proportional to 83,287.37, 114,936.21 and 45,046.96

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Solution

The fourth proportional to 83,287.37, 114,936.21 and 45,046.96 is: 62,164.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,287.37 : 114,936.21 = 45,046.96 : x
  2. Step 2: Convert to fraction form
    83,287.37/114,936.21 = 45,046.96/x
  3. Step 3: Cross multiply
    83,287.37x = 114,936.21 × 45,046.96
  4. Step 4: Simplify right side
    83,287.37x = 5,177,526,279.74
  5. Step 5: Solve for x
    x = 5,177,526,279.74/83,287.37
  6. Step 6: Final answer
    x = 62,164.60

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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.