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Finding the Fourth Proportional to 67,194.12, 100,802.04 and 20,436

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Solution

The fourth proportional to 67,194.12, 100,802.04 and 20,436 is: 30,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,194.12 : 100,802.04 = 20,436 : x
  2. Step 2: Convert to fraction form
    67,194.12/100,802.04 = 20,436/x
  3. Step 3: Cross multiply
    67,194.12x = 100,802.04 × 20,436
  4. Step 4: Simplify right side
    67,194.12x = 2,059,990,489.44
  5. Step 5: Solve for x
    x = 2,059,990,489.44/67,194.12
  6. Step 6: Final answer
    x = 30,657.30

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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.