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Finding the Fourth Proportional to 73,884.80, 110,896.80 and 38,849.60

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Solution

The fourth proportional to 73,884.80, 110,896.80 and 38,849.60 is: 58,311.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,884.80 : 110,896.80 = 38,849.60 : x
  2. Step 2: Convert to fraction form
    73,884.80/110,896.80 = 38,849.60/x
  3. Step 3: Cross multiply
    73,884.80x = 110,896.80 × 38,849.60
  4. Step 4: Simplify right side
    73,884.80x = 4,308,296,321.28
  5. Step 5: Solve for x
    x = 4,308,296,321.28/73,884.80
  6. Step 6: Final answer
    x = 58,311.00

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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.