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Finding the Fourth Proportional to 49,041.60, 73,540.80 and 19,449.60

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Solution

The fourth proportional to 49,041.60, 73,540.80 and 19,449.60 is: 29,165.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,041.60 : 73,540.80 = 19,449.60 : x
  2. Step 2: Convert to fraction form
    49,041.60/73,540.80 = 19,449.60/x
  3. Step 3: Cross multiply
    49,041.60x = 73,540.80 × 19,449.60
  4. Step 4: Simplify right side
    49,041.60x = 1,430,339,143.68
  5. Step 5: Solve for x
    x = 1,430,339,143.68/49,041.60
  6. Step 6: Final answer
    x = 29,165.83

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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.