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Finding the Fourth Proportional to 33,419.40, 50,129.10 and 30,654.60

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Solution

The fourth proportional to 33,419.40, 50,129.10 and 30,654.60 is: 45,981.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,419.40 : 50,129.10 = 30,654.60 : x
  2. Step 2: Convert to fraction form
    33,419.40/50,129.10 = 30,654.60/x
  3. Step 3: Cross multiply
    33,419.40x = 50,129.10 × 30,654.60
  4. Step 4: Simplify right side
    33,419.40x = 1,536,687,508.86
  5. Step 5: Solve for x
    x = 1,536,687,508.86/33,419.40
  6. Step 6: Final answer
    x = 45,981.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.