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Finding the Fourth Proportional to 71,596.82, 107,414.67 and 21,678.59

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Solution

The fourth proportional to 71,596.82, 107,414.67 and 21,678.59 is: 32,523.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,596.82 : 107,414.67 = 21,678.59 : x
  2. Step 2: Convert to fraction form
    71,596.82/107,414.67 = 21,678.59/x
  3. Step 3: Cross multiply
    71,596.82x = 107,414.67 × 21,678.59
  4. Step 4: Simplify right side
    71,596.82x = 2,328,598,590.92
  5. Step 5: Solve for x
    x = 2,328,598,590.92/71,596.82
  6. Step 6: Final answer
    x = 32,523.77

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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.