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Finding the Fourth Proportional to 84,459.73, 126,709.31 and 24,489.46

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Solution

The fourth proportional to 84,459.73, 126,709.31 and 24,489.46 is: 36,739.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,459.73 : 126,709.31 = 24,489.46 : x
  2. Step 2: Convert to fraction form
    84,459.73/126,709.31 = 24,489.46/x
  3. Step 3: Cross multiply
    84,459.73x = 126,709.31 × 24,489.46
  4. Step 4: Simplify right side
    84,459.73x = 3,103,042,578.87
  5. Step 5: Solve for x
    x = 3,103,042,578.87/84,459.73
  6. Step 6: Final answer
    x = 36,739.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.