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Finding the Fourth Proportional to 75,649.65, 113,421.92 and 33,506.76

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Solution

The fourth proportional to 75,649.65, 113,421.92 and 33,506.76 is: 50,236.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,649.65 : 113,421.92 = 33,506.76 : x
  2. Step 2: Convert to fraction form
    75,649.65/113,421.92 = 33,506.76/x
  3. Step 3: Cross multiply
    75,649.65x = 113,421.92 × 33,506.76
  4. Step 4: Simplify right side
    75,649.65x = 3,800,400,884.65
  5. Step 5: Solve for x
    x = 3,800,400,884.65/75,649.65
  6. Step 6: Final answer
    x = 50,236.86

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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.