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Finding the Fourth Proportional to 54,907.70, 82,361.55 and 48,346.70

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Solution

The fourth proportional to 54,907.70, 82,361.55 and 48,346.70 is: 72,520.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,907.70 : 82,361.55 = 48,346.70 : x
  2. Step 2: Convert to fraction form
    54,907.70/82,361.55 = 48,346.70/x
  3. Step 3: Cross multiply
    54,907.70x = 82,361.55 × 48,346.70
  4. Step 4: Simplify right side
    54,907.70x = 3,981,909,149.39
  5. Step 5: Solve for x
    x = 3,981,909,149.39/54,907.70
  6. Step 6: Final answer
    x = 72,520.05

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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.