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Finding the Fourth Proportional to 49,202.60, 73,814.70 and 24,254.60

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Solution

The fourth proportional to 49,202.60, 73,814.70 and 24,254.60 is: 36,387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,202.60 : 73,814.70 = 24,254.60 : x
  2. Step 2: Convert to fraction form
    49,202.60/73,814.70 = 24,254.60/x
  3. Step 3: Cross multiply
    49,202.60x = 73,814.70 × 24,254.60
  4. Step 4: Simplify right side
    49,202.60x = 1,790,346,022.62
  5. Step 5: Solve for x
    x = 1,790,346,022.62/49,202.60
  6. Step 6: Final answer
    x = 36,387.22

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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.