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Finding the Fourth Proportional to 50,983.82, 76,486.67 and 21,384.60

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Solution

The fourth proportional to 50,983.82, 76,486.67 and 21,384.60 is: 32,081.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,983.82 : 76,486.67 = 21,384.60 : x
  2. Step 2: Convert to fraction form
    50,983.82/76,486.67 = 21,384.60/x
  3. Step 3: Cross multiply
    50,983.82x = 76,486.67 × 21,384.60
  4. Step 4: Simplify right side
    50,983.82x = 1,635,636,529.73
  5. Step 5: Solve for x
    x = 1,635,636,529.73/50,983.82
  6. Step 6: Final answer
    x = 32,081.48

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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.