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Finding the Fourth Proportional to 30,375.60, 41,856.12 and 22,405.20

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Solution

The fourth proportional to 30,375.60, 41,856.12 and 22,405.20 is: 30,873.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,375.60 : 41,856.12 = 22,405.20 : x
  2. Step 2: Convert to fraction form
    30,375.60/41,856.12 = 22,405.20/x
  3. Step 3: Cross multiply
    30,375.60x = 41,856.12 × 22,405.20
  4. Step 4: Simplify right side
    30,375.60x = 937,794,739.82
  5. Step 5: Solve for x
    x = 937,794,739.82/30,375.60
  6. Step 6: Final answer
    x = 30,873.29

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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.