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Finding the Fourth Proportional to 83,080.49, 114,653.48 and 47,270.18

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Solution

The fourth proportional to 83,080.49, 114,653.48 and 47,270.18 is: 65,234.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,080.49 : 114,653.48 = 47,270.18 : x
  2. Step 2: Convert to fraction form
    83,080.49/114,653.48 = 47,270.18/x
  3. Step 3: Cross multiply
    83,080.49x = 114,653.48 × 47,270.18
  4. Step 4: Simplify right side
    83,080.49x = 5,419,690,687.51
  5. Step 5: Solve for x
    x = 5,419,690,687.51/83,080.49
  6. Step 6: Final answer
    x = 65,234.22

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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.