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Finding the Fourth Proportional to 33,074.30, 49,611.54 and 8,114.48

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Solution

The fourth proportional to 33,074.30, 49,611.54 and 8,114.48 is: 12,171.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,074.30 : 49,611.54 = 8,114.48 : x
  2. Step 2: Convert to fraction form
    33,074.30/49,611.54 = 8,114.48/x
  3. Step 3: Cross multiply
    33,074.30x = 49,611.54 × 8,114.48
  4. Step 4: Simplify right side
    33,074.30x = 402,571,849.10
  5. Step 5: Solve for x
    x = 402,571,849.10/33,074.30
  6. Step 6: Final answer
    x = 12,171.74

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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.