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Finding the Fourth Proportional to 30,164.70, 41,623.11 and 20,099.64

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Solution

The fourth proportional to 30,164.70, 41,623.11 and 20,099.64 is: 27,734.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,164.70 : 41,623.11 = 20,099.64 : x
  2. Step 2: Convert to fraction form
    30,164.70/41,623.11 = 20,099.64/x
  3. Step 3: Cross multiply
    30,164.70x = 41,623.11 × 20,099.64
  4. Step 4: Simplify right side
    30,164.70x = 836,609,526.68
  5. Step 5: Solve for x
    x = 836,609,526.68/30,164.70
  6. Step 6: Final answer
    x = 27,734.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.