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Finding the Fourth Proportional to 75,846.92, 113,785.02 and 29,096.15

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Solution

The fourth proportional to 75,846.92, 113,785.02 and 29,096.15 is: 43,649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,846.92 : 113,785.02 = 29,096.15 : x
  2. Step 2: Convert to fraction form
    75,846.92/113,785.02 = 29,096.15/x
  3. Step 3: Cross multiply
    75,846.92x = 113,785.02 × 29,096.15
  4. Step 4: Simplify right side
    75,846.92x = 3,310,705,440.75
  5. Step 5: Solve for x
    x = 3,310,705,440.75/75,846.92
  6. Step 6: Final answer
    x = 43,649.84

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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.