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Finding the Fourth Proportional to 72,809.44, 109,214.06 and 22,893.92

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Solution

The fourth proportional to 72,809.44, 109,214.06 and 22,893.92 is: 34,340.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,809.44 : 109,214.06 = 22,893.92 : x
  2. Step 2: Convert to fraction form
    72,809.44/109,214.06 = 22,893.92/x
  3. Step 3: Cross multiply
    72,809.44x = 109,214.06 × 22,893.92
  4. Step 4: Simplify right side
    72,809.44x = 2,500,337,952.52
  5. Step 5: Solve for x
    x = 2,500,337,952.52/72,809.44
  6. Step 6: Final answer
    x = 34,340.85

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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.