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Finding the Fourth Proportional to 78,505.50, 117,797.21 and 31,119.59

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Solution

The fourth proportional to 78,505.50, 117,797.21 and 31,119.59 is: 46,694.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,505.50 : 117,797.21 = 31,119.59 : x
  2. Step 2: Convert to fraction form
    78,505.50/117,797.21 = 31,119.59/x
  3. Step 3: Cross multiply
    78,505.50x = 117,797.21 × 31,119.59
  4. Step 4: Simplify right side
    78,505.50x = 3,665,801,221.46
  5. Step 5: Solve for x
    x = 3,665,801,221.46/78,505.50
  6. Step 6: Final answer
    x = 46,694.83

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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.