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Finding the Fourth Proportional to 76,535.22, 114,691.50 and 33,788.64

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Solution

The fourth proportional to 76,535.22, 114,691.50 and 33,788.64 is: 50,633.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,535.22 : 114,691.50 = 33,788.64 : x
  2. Step 2: Convert to fraction form
    76,535.22/114,691.50 = 33,788.64/x
  3. Step 3: Cross multiply
    76,535.22x = 114,691.50 × 33,788.64
  4. Step 4: Simplify right side
    76,535.22x = 3,875,269,804.56
  5. Step 5: Solve for x
    x = 3,875,269,804.56/76,535.22
  6. Step 6: Final answer
    x = 50,633.81

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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.