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Finding the Fourth Proportional to 75,813, 113,760.46 and 36,901

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Solution

The fourth proportional to 75,813, 113,760.46 and 36,901 is: 55,371.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,813 : 113,760.46 = 36,901 : x
  2. Step 2: Convert to fraction form
    75,813/113,760.46 = 36,901/x
  3. Step 3: Cross multiply
    75,813x = 113,760.46 × 36,901
  4. Step 4: Simplify right side
    75,813x = 4,197,874,734.46
  5. Step 5: Solve for x
    x = 4,197,874,734.46/75,813
  6. Step 6: Final answer
    x = 55,371.44

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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.