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Finding the Fourth Proportional to 109,544.40, 164,381.40 and 39,414.60

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Solution

The fourth proportional to 109,544.40, 164,381.40 and 39,414.60 is: 59,145.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,544.40 : 164,381.40 = 39,414.60 : x
  2. Step 2: Convert to fraction form
    109,544.40/164,381.40 = 39,414.60/x
  3. Step 3: Cross multiply
    109,544.40x = 164,381.40 × 39,414.60
  4. Step 4: Simplify right side
    109,544.40x = 6,479,027,128.44
  5. Step 5: Solve for x
    x = 6,479,027,128.44/109,544.40
  6. Step 6: Final answer
    x = 59,145.22

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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.