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Finding the Fourth Proportional to 129,385.28, 194,077.86 and 35,891

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Solution

The fourth proportional to 129,385.28, 194,077.86 and 35,891 is: 53,836.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,385.28 : 194,077.86 = 35,891 : x
  2. Step 2: Convert to fraction form
    129,385.28/194,077.86 = 35,891/x
  3. Step 3: Cross multiply
    129,385.28x = 194,077.86 × 35,891
  4. Step 4: Simplify right side
    129,385.28x = 6,965,648,473.26
  5. Step 5: Solve for x
    x = 6,965,648,473.26/129,385.28
  6. Step 6: Final answer
    x = 53,836.48

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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.