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Finding the Fourth Proportional to 77,584.50, 116,383.50 and 21,424.68

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Solution

The fourth proportional to 77,584.50, 116,383.50 and 21,424.68 is: 32,138.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,584.50 : 116,383.50 = 21,424.68 : x
  2. Step 2: Convert to fraction form
    77,584.50/116,383.50 = 21,424.68/x
  3. Step 3: Cross multiply
    77,584.50x = 116,383.50 × 21,424.68
  4. Step 4: Simplify right side
    77,584.50x = 2,493,479,244.78
  5. Step 5: Solve for x
    x = 2,493,479,244.78/77,584.50
  6. Step 6: Final answer
    x = 32,138.88

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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.