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Finding the Fourth Proportional to 72,879.40, 109,367.70 and 33,416.20

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Solution

The fourth proportional to 72,879.40, 109,367.70 and 33,416.20 is: 50,146.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,879.40 : 109,367.70 = 33,416.20 : x
  2. Step 2: Convert to fraction form
    72,879.40/109,367.70 = 33,416.20/x
  3. Step 3: Cross multiply
    72,879.40x = 109,367.70 × 33,416.20
  4. Step 4: Simplify right side
    72,879.40x = 3,654,652,936.74
  5. Step 5: Solve for x
    x = 3,654,652,936.74/72,879.40
  6. Step 6: Final answer
    x = 50,146.58

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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.