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Finding the Fourth Proportional to 109,906.40, 164,871.68 and 35,008.96

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Solution

The fourth proportional to 109,906.40, 164,871.68 and 35,008.96 is: 52,517.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,906.40 : 164,871.68 = 35,008.96 : x
  2. Step 2: Convert to fraction form
    109,906.40/164,871.68 = 35,008.96/x
  3. Step 3: Cross multiply
    109,906.40x = 164,871.68 × 35,008.96
  4. Step 4: Simplify right side
    109,906.40x = 5,771,986,050.25
  5. Step 5: Solve for x
    x = 5,771,986,050.25/109,906.40
  6. Step 6: Final answer
    x = 52,517.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.