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Finding the Fourth Proportional to 30,375.20, 41,906.08 and 18,434.24

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Solution

The fourth proportional to 30,375.20, 41,906.08 and 18,434.24 is: 25,432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,375.20 : 41,906.08 = 18,434.24 : x
  2. Step 2: Convert to fraction form
    30,375.20/41,906.08 = 18,434.24/x
  3. Step 3: Cross multiply
    30,375.20x = 41,906.08 × 18,434.24
  4. Step 4: Simplify right side
    30,375.20x = 772,506,736.18
  5. Step 5: Solve for x
    x = 772,506,736.18/30,375.20
  6. Step 6: Final answer
    x = 25,432.15

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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.