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Finding the Fourth Proportional to 75,841.60, 113,827.20 and 33,786.40

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Solution

The fourth proportional to 75,841.60, 113,827.20 and 33,786.40 is: 50,708.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,841.60 : 113,827.20 = 33,786.40 : x
  2. Step 2: Convert to fraction form
    75,841.60/113,827.20 = 33,786.40/x
  3. Step 3: Cross multiply
    75,841.60x = 113,827.20 × 33,786.40
  4. Step 4: Simplify right side
    75,841.60x = 3,845,811,310.08
  5. Step 5: Solve for x
    x = 3,845,811,310.08/75,841.60
  6. Step 6: Final answer
    x = 50,708.47

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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.