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Finding the Fourth Proportional to 129,384, 194,076 and 35,889.75

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Solution

The fourth proportional to 129,384, 194,076 and 35,889.75 is: 53,834.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,384 : 194,076 = 35,889.75 : x
  2. Step 2: Convert to fraction form
    129,384/194,076 = 35,889.75/x
  3. Step 3: Cross multiply
    129,384x = 194,076 × 35,889.75
  4. Step 4: Simplify right side
    129,384x = 6,965,339,121
  5. Step 5: Solve for x
    x = 6,965,339,121/129,384
  6. Step 6: Final answer
    x = 53,834.63

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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.