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Finding the Fourth Proportional to 83,449.93, 115,165.52 and 47,651.44

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Solution

The fourth proportional to 83,449.93, 115,165.52 and 47,651.44 is: 65,761.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,449.93 : 115,165.52 = 47,651.44 : x
  2. Step 2: Convert to fraction form
    83,449.93/115,165.52 = 47,651.44/x
  3. Step 3: Cross multiply
    83,449.93x = 115,165.52 × 47,651.44
  4. Step 4: Simplify right side
    83,449.93x = 5,487,802,628.09
  5. Step 5: Solve for x
    x = 5,487,802,628.09/83,449.93
  6. Step 6: Final answer
    x = 65,761.62

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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.