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Finding the Fourth Proportional to 72,201.60, 108,286.20 and 47,415.60

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Solution

The fourth proportional to 72,201.60, 108,286.20 and 47,415.60 is: 71,112.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,201.60 : 108,286.20 = 47,415.60 : x
  2. Step 2: Convert to fraction form
    72,201.60/108,286.20 = 47,415.60/x
  3. Step 3: Cross multiply
    72,201.60x = 108,286.20 × 47,415.60
  4. Step 4: Simplify right side
    72,201.60x = 5,134,455,144.72
  5. Step 5: Solve for x
    x = 5,134,455,144.72/72,201.60
  6. Step 6: Final answer
    x = 71,112.76

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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.