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Finding the Fourth Proportional to 109,352.50, 164,004.11 and 39,231.81

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Solution

The fourth proportional to 109,352.50, 164,004.11 and 39,231.81 is: 58,838.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,352.50 : 164,004.11 = 39,231.81 : x
  2. Step 2: Convert to fraction form
    109,352.50/164,004.11 = 39,231.81/x
  3. Step 3: Cross multiply
    109,352.50x = 164,004.11 × 39,231.81
  4. Step 4: Simplify right side
    109,352.50x = 6,434,178,033.70
  5. Step 5: Solve for x
    x = 6,434,178,033.70/109,352.50
  6. Step 6: Final answer
    x = 58,838.88

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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.