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Finding the Fourth Proportional to 75,835.44, 113,697 and 36,354.96

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Solution

The fourth proportional to 75,835.44, 113,697 and 36,354.96 is: 54,505.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,835.44 : 113,697 = 36,354.96 : x
  2. Step 2: Convert to fraction form
    75,835.44/113,697 = 36,354.96/x
  3. Step 3: Cross multiply
    75,835.44x = 113,697 × 36,354.96
  4. Step 4: Simplify right side
    75,835.44x = 4,133,449,887.12
  5. Step 5: Solve for x
    x = 4,133,449,887.12/75,835.44
  6. Step 6: Final answer
    x = 54,505.52

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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.