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Finding the Fourth Proportional to 80,524, 120,654.46 and 48,943.72

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Solution

The fourth proportional to 80,524, 120,654.46 and 48,943.72 is: 73,335.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,524 : 120,654.46 = 48,943.72 : x
  2. Step 2: Convert to fraction form
    80,524/120,654.46 = 48,943.72/x
  3. Step 3: Cross multiply
    80,524x = 120,654.46 × 48,943.72
  4. Step 4: Simplify right side
    80,524x = 5,905,278,106.99
  5. Step 5: Solve for x
    x = 5,905,278,106.99/80,524
  6. Step 6: Final answer
    x = 73,335.63

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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.