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Finding the Fourth Proportional to 54,974.70, 82,462.05 and 48,408.30

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Solution

The fourth proportional to 54,974.70, 82,462.05 and 48,408.30 is: 72,612.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,974.70 : 82,462.05 = 48,408.30 : x
  2. Step 2: Convert to fraction form
    54,974.70/82,462.05 = 48,408.30/x
  3. Step 3: Cross multiply
    54,974.70x = 82,462.05 × 48,408.30
  4. Step 4: Simplify right side
    54,974.70x = 3,991,847,655.02
  5. Step 5: Solve for x
    x = 3,991,847,655.02/54,974.70
  6. Step 6: Final answer
    x = 72,612.45

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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.