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Finding the Fourth Proportional to 83,042.39, 114,604.84 and 47,230.26

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Solution

The fourth proportional to 83,042.39, 114,604.84 and 47,230.26 is: 65,181.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,042.39 : 114,604.84 = 47,230.26 : x
  2. Step 2: Convert to fraction form
    83,042.39/114,604.84 = 47,230.26/x
  3. Step 3: Cross multiply
    83,042.39x = 114,604.84 × 47,230.26
  4. Step 4: Simplify right side
    83,042.39x = 5,412,816,558.89
  5. Step 5: Solve for x
    x = 5,412,816,558.89/83,042.39
  6. Step 6: Final answer
    x = 65,181.37

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