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Finding the Fourth Proportional to 33,421, 50,098.14 and 16,730.08

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Solution

The fourth proportional to 33,421, 50,098.14 and 16,730.08 is: 25,078.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,421 : 50,098.14 = 16,730.08 : x
  2. Step 2: Convert to fraction form
    33,421/50,098.14 = 16,730.08/x
  3. Step 3: Cross multiply
    33,421x = 50,098.14 × 16,730.08
  4. Step 4: Simplify right side
    33,421x = 838,145,890.05
  5. Step 5: Solve for x
    x = 838,145,890.05/33,421
  6. Step 6: Final answer
    x = 25,078.42

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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.