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Finding the Fourth Proportional to 109,645.50, 164,494.25 and 35,773.50

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Solution

The fourth proportional to 109,645.50, 164,494.25 and 35,773.50 is: 53,668.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,645.50 : 164,494.25 = 35,773.50 : x
  2. Step 2: Convert to fraction form
    109,645.50/164,494.25 = 35,773.50/x
  3. Step 3: Cross multiply
    109,645.50x = 164,494.25 × 35,773.50
  4. Step 4: Simplify right side
    109,645.50x = 5,884,535,052.38
  5. Step 5: Solve for x
    x = 5,884,535,052.38/109,645.50
  6. Step 6: Final answer
    x = 53,668.73

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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.