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Finding the Fourth Proportional to 33,201.60, 49,658.40 and 29,716.80

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Solution

The fourth proportional to 33,201.60, 49,658.40 and 29,716.80 is: 44,446.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,201.60 : 49,658.40 = 29,716.80 : x
  2. Step 2: Convert to fraction form
    33,201.60/49,658.40 = 29,716.80/x
  3. Step 3: Cross multiply
    33,201.60x = 49,658.40 × 29,716.80
  4. Step 4: Simplify right side
    33,201.60x = 1,475,688,741.12
  5. Step 5: Solve for x
    x = 1,475,688,741.12/33,201.60
  6. Step 6: Final answer
    x = 44,446.31

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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.