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Finding the Fourth Proportional to 32,874.14, 49,310.90 and 14,167.39

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Solution

The fourth proportional to 32,874.14, 49,310.90 and 14,167.39 is: 21,250.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,874.14 : 49,310.90 = 14,167.39 : x
  2. Step 2: Convert to fraction form
    32,874.14/49,310.90 = 14,167.39/x
  3. Step 3: Cross multiply
    32,874.14x = 49,310.90 × 14,167.39
  4. Step 4: Simplify right side
    32,874.14x = 698,606,751.55
  5. Step 5: Solve for x
    x = 698,606,751.55/32,874.14
  6. Step 6: Final answer
    x = 21,250.95

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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.