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Finding the Fourth Proportional to 68,893.50, 95,080.32 and 43,743

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Solution

The fourth proportional to 68,893.50, 95,080.32 and 43,743 is: 60,369.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,893.50 : 95,080.32 = 43,743 : x
  2. Step 2: Convert to fraction form
    68,893.50/95,080.32 = 43,743/x
  3. Step 3: Cross multiply
    68,893.50x = 95,080.32 × 43,743
  4. Step 4: Simplify right side
    68,893.50x = 4,159,098,437.76
  5. Step 5: Solve for x
    x = 4,159,098,437.76/68,893.50
  6. Step 6: Final answer
    x = 60,369.97

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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.