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Finding the Fourth Proportional to 33,650.50, 50,475.75 and 9,026.50

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Solution

The fourth proportional to 33,650.50, 50,475.75 and 9,026.50 is: 13,539.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,650.50 : 50,475.75 = 9,026.50 : x
  2. Step 2: Convert to fraction form
    33,650.50/50,475.75 = 9,026.50/x
  3. Step 3: Cross multiply
    33,650.50x = 50,475.75 × 9,026.50
  4. Step 4: Simplify right side
    33,650.50x = 455,619,357.38
  5. Step 5: Solve for x
    x = 455,619,357.38/33,650.50
  6. Step 6: Final answer
    x = 13,539.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.