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Finding the Fourth Proportional to 33,215.87, 49,793.82 and 12,140.93

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Solution

The fourth proportional to 33,215.87, 49,793.82 and 12,140.93 is: 18,200.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,215.87 : 49,793.82 = 12,140.93 : x
  2. Step 2: Convert to fraction form
    33,215.87/49,793.82 = 12,140.93/x
  3. Step 3: Cross multiply
    33,215.87x = 49,793.82 × 12,140.93
  4. Step 4: Simplify right side
    33,215.87x = 604,543,283.05
  5. Step 5: Solve for x
    x = 604,543,283.05/33,215.87
  6. Step 6: Final answer
    x = 18,200.44

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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.