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Finding the Fourth Proportional to 50,109.37, 69,117.70 and 32,227

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Solution

The fourth proportional to 50,109.37, 69,117.70 and 32,227 is: 44,451.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,109.37 : 69,117.70 = 32,227 : x
  2. Step 2: Convert to fraction form
    50,109.37/69,117.70 = 32,227/x
  3. Step 3: Cross multiply
    50,109.37x = 69,117.70 × 32,227
  4. Step 4: Simplify right side
    50,109.37x = 2,227,456,117.90
  5. Step 5: Solve for x
    x = 2,227,456,117.90/50,109.37
  6. Step 6: Final answer
    x = 44,451.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.