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Finding the Fourth Proportional to 72,997.50, 109,503.27 and 33,565.62

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Solution

The fourth proportional to 72,997.50, 109,503.27 and 33,565.62 is: 50,351.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,997.50 : 109,503.27 = 33,565.62 : x
  2. Step 2: Convert to fraction form
    72,997.50/109,503.27 = 33,565.62/x
  3. Step 3: Cross multiply
    72,997.50x = 109,503.27 × 33,565.62
  4. Step 4: Simplify right side
    72,997.50x = 3,675,545,149.58
  5. Step 5: Solve for x
    x = 3,675,545,149.58/72,997.50
  6. Step 6: Final answer
    x = 50,351.66

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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.