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Finding the Fourth Proportional to 32,981.60, 45,517.20 and 20,410.40

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Solution

The fourth proportional to 32,981.60, 45,517.20 and 20,410.40 is: 28,167.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,981.60 : 45,517.20 = 20,410.40 : x
  2. Step 2: Convert to fraction form
    32,981.60/45,517.20 = 20,410.40/x
  3. Step 3: Cross multiply
    32,981.60x = 45,517.20 × 20,410.40
  4. Step 4: Simplify right side
    32,981.60x = 929,024,258.88
  5. Step 5: Solve for x
    x = 929,024,258.88/32,981.60
  6. Step 6: Final answer
    x = 28,167.96

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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.