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Finding the Fourth Proportional to 34,164.46, 51,175.90 and 20,082

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Solution

The fourth proportional to 34,164.46, 51,175.90 and 20,082 is: 30,081.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,164.46 : 51,175.90 = 20,082 : x
  2. Step 2: Convert to fraction form
    34,164.46/51,175.90 = 20,082/x
  3. Step 3: Cross multiply
    34,164.46x = 51,175.90 × 20,082
  4. Step 4: Simplify right side
    34,164.46x = 1,027,714,423.80
  5. Step 5: Solve for x
    x = 1,027,714,423.80/34,164.46
  6. Step 6: Final answer
    x = 30,081.39

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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.