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Finding the Fourth Proportional to 83,842.87, 115,705.31 and 45,604.60

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Solution

The fourth proportional to 83,842.87, 115,705.31 and 45,604.60 is: 62,935.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,842.87 : 115,705.31 = 45,604.60 : x
  2. Step 2: Convert to fraction form
    83,842.87/115,705.31 = 45,604.60/x
  3. Step 3: Cross multiply
    83,842.87x = 115,705.31 × 45,604.60
  4. Step 4: Simplify right side
    83,842.87x = 5,276,694,380.43
  5. Step 5: Solve for x
    x = 5,276,694,380.43/83,842.87
  6. Step 6: Final answer
    x = 62,935.52

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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.