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Finding the Fourth Proportional to 33,033.60, 49,406.40 and 29,548.80

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Solution

The fourth proportional to 33,033.60, 49,406.40 and 29,548.80 is: 44,194.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,033.60 : 49,406.40 = 29,548.80 : x
  2. Step 2: Convert to fraction form
    33,033.60/49,406.40 = 29,548.80/x
  3. Step 3: Cross multiply
    33,033.60x = 49,406.40 × 29,548.80
  4. Step 4: Simplify right side
    33,033.60x = 1,459,899,832.32
  5. Step 5: Solve for x
    x = 1,459,899,832.32/33,033.60
  6. Step 6: Final answer
    x = 44,194.39

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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.