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Finding the Fourth Proportional to 109,633.20, 164,349 and 39,495.36

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Solution

The fourth proportional to 109,633.20, 164,349 and 39,495.36 is: 59,206.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,633.20 : 164,349 = 39,495.36 : x
  2. Step 2: Convert to fraction form
    109,633.20/164,349 = 39,495.36/x
  3. Step 3: Cross multiply
    109,633.20x = 164,349 × 39,495.36
  4. Step 4: Simplify right side
    109,633.20x = 6,491,022,920.64
  5. Step 5: Solve for x
    x = 6,491,022,920.64/109,633.20
  6. Step 6: Final answer
    x = 59,206.73

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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.