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Finding the Fourth Proportional to 33,009.40, 49,427.70 and 24,196.60

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Solution

The fourth proportional to 33,009.40, 49,427.70 and 24,196.60 is: 36,231.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,009.40 : 49,427.70 = 24,196.60 : x
  2. Step 2: Convert to fraction form
    33,009.40/49,427.70 = 24,196.60/x
  3. Step 3: Cross multiply
    33,009.40x = 49,427.70 × 24,196.60
  4. Step 4: Simplify right side
    33,009.40x = 1,195,982,285.82
  5. Step 5: Solve for x
    x = 1,195,982,285.82/33,009.40
  6. Step 6: Final answer
    x = 36,231.57

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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.