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Finding the Fourth Proportional to 54,967.50, 82,451.44 and 13,414.50

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Solution

The fourth proportional to 54,967.50, 82,451.44 and 13,414.50 is: 20,121.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,967.50 : 82,451.44 = 13,414.50 : x
  2. Step 2: Convert to fraction form
    54,967.50/82,451.44 = 13,414.50/x
  3. Step 3: Cross multiply
    54,967.50x = 82,451.44 × 13,414.50
  4. Step 4: Simplify right side
    54,967.50x = 1,106,044,841.88
  5. Step 5: Solve for x
    x = 1,106,044,841.88/54,967.50
  6. Step 6: Final answer
    x = 20,121.80

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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.