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Finding the Fourth Proportional to 76,843.96, 115,252.98 and 21,427

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Solution

The fourth proportional to 76,843.96, 115,252.98 and 21,427 is: 32,136.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,843.96 : 115,252.98 = 21,427 : x
  2. Step 2: Convert to fraction form
    76,843.96/115,252.98 = 21,427/x
  3. Step 3: Cross multiply
    76,843.96x = 115,252.98 × 21,427
  4. Step 4: Simplify right side
    76,843.96x = 2,469,525,602.46
  5. Step 5: Solve for x
    x = 2,469,525,602.46/76,843.96
  6. Step 6: Final answer
    x = 32,136.89

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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.