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Finding the Fourth Proportional to 36,106.29, 54,168.30 and 12,414.20

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Solution

The fourth proportional to 36,106.29, 54,168.30 and 12,414.20 is: 18,624.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,106.29 : 54,168.30 = 12,414.20 : x
  2. Step 2: Convert to fraction form
    36,106.29/54,168.30 = 12,414.20/x
  3. Step 3: Cross multiply
    36,106.29x = 54,168.30 × 12,414.20
  4. Step 4: Simplify right side
    36,106.29x = 672,455,839.02
  5. Step 5: Solve for x
    x = 672,455,839.02/36,106.29
  6. Step 6: Final answer
    x = 18,624.34

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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.