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Finding the Fourth Proportional to 72,893.34, 109,284.12 and 33,422.04

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Solution

The fourth proportional to 72,893.34, 109,284.12 and 33,422.04 is: 50,107.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,893.34 : 109,284.12 = 33,422.04 : x
  2. Step 2: Convert to fraction form
    72,893.34/109,284.12 = 33,422.04/x
  3. Step 3: Cross multiply
    72,893.34x = 109,284.12 × 33,422.04
  4. Step 4: Simplify right side
    72,893.34x = 3,652,498,230.00
  5. Step 5: Solve for x
    x = 3,652,498,230.00/72,893.34
  6. Step 6: Final answer
    x = 50,107.43

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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.