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Finding the Fourth Proportional to 33,624.31, 50,411.76 and 16,106.44

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Solution

The fourth proportional to 33,624.31, 50,411.76 and 16,106.44 is: 24,147.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,624.31 : 50,411.76 = 16,106.44 : x
  2. Step 2: Convert to fraction form
    33,624.31/50,411.76 = 16,106.44/x
  3. Step 3: Cross multiply
    33,624.31x = 50,411.76 × 16,106.44
  4. Step 4: Simplify right side
    33,624.31x = 811,953,987.73
  5. Step 5: Solve for x
    x = 811,953,987.73/33,624.31
  6. Step 6: Final answer
    x = 24,147.83

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